SocialTwist Tell-a-Friend

Ask a Question? Get an Answer!


Question: Find the length of the unknown side of the triangle, correct to 1 decimal place if necessary.



A ) 17.2 cm
B ) 9.8 cm
C ) 18 cm
D ) 6.9 cm

Steps to derive

1 We can find the length of the unknown side of the right-angled triangle, using Pythagoras′ theorem.

2 The square of the hypotenuse is equal to the sum of the squares of the other two sides.
 [Pythagoras′ Theorem.]

3 y2 = 142 + 102
 [1 m = 100 cm
0.14 m = 0.14 × 1 m = 0.14 × 100 cm = 14 cm]

4 y2 = 196 + 100 = 296
 [142 = 196 and 102 = 100]

5 y = 296
 [Take square roots on both sides.]

6 Hence, y = 17.2 cm



Hence the right answer is Option A

Click Here To Go Back


Few Other Questions -

  • The sum of two consecutive even numbers is less than 70. Choose an equation or inequality ..
  • 7 times a number is equal to 4 times the number increased by 12. Choose an equation or ine..
  • Write an equation or an inequality to find a number if it is the mean of 12, 14, 16 and th..
  • A square and a rectangle have the same perimeter. If the area of the square is 144 cm²..
  • The sum of two numbers is at most 100. The larger number is 6 more than the smaller. Find ..
  • Divide 441 into two parts such that nine times the greater part will be equal to 12 times..
  • Two angles of a triangle are in the ratio 9 : 11 . If the measure of the third angle is t..
  • The numerator of a fraction is 3 less than the denominator. The sum of the numerator and d..
  • 4 years ago, Marissa was twice Gary's age. 4 years later, their ages will be in the ratio ..
  • Robert and Dick had some marbles each. If Robert gave 5 marbles to Dick, then Dick will ha..
  • 5 times the width of a room exceeds the length by 7 ft. If the length and the width are ea..
  • The difference between the obtuse angle and the larger one of the acute angles of a triang..
  • A wire of length less than 94 ft is cut into two pieces. 1532th of the longer part equal..
  • Two natural numbers differ by 50. The larger is greater than or equal to 10 times the smal..
  • Chang's average on five math tests is between 91 and 95. He scored equally in first and th..
  • The average age of a group of friends is 25 years. The ages of four of them is 39, 20, 16 ..
  • Quincy's school holds a series of six tests and gives a merit certificate to all those who..
  • Tickets for cushioned seats in the main hall at the school play cost $8.00 each and the ti..
  • 550 people attended a charity show. Some of them donated $10, and some donated $5. The to..
  • The sum of the digits in a two digit number is 10. If the digits are reversed, then the va..
  • Tony borrows $4700 from a bank for a period of 1 year. He finds that he has to repay $517..
  • The circumference of a circle is 44 cm. Find its diameter...
  • Two integers are in the ratio 8 : 9. If each number is increased by 10, the new ratio beco..
  • The sum of the three consecutive natural numbers lies between 66 and 81. Find the smallest..
  • Two angles in a triangle are equal and the third angle is 54o more than the two equal ang..
  • The ordered pair (x, y) represents a point in the coordinate plane. Name the quadrant whic..
  • The ordered pair (x, y) represents a point in the coordinate plane. Name the quadrant whic..
  • The ordered pair (x, y) represents a point in the coordinate plane. Name the quadrant that..
  • The ordered pair (x, y) represents a point in the coordinate plane. Which of the following..
  • The ordered pair (x, y) represents a point in the coordinate plane. Name the quadrant tha..
  • The ordered pair (x, y) represents a point in the coordinate plane. What does the line x ..
  • Find the coordinates of the point which lies in Quadrant II and whose distances from x-axi..
  • Find the coordinates of the point which lies in Quadrant IV and whose distances from y-axi..
  • Graph a point whose second coordinate is 2...
  • In which of the following graphs, the x coordinate of all the points is - 4?..
  • Which of the following graphs shows that the coordinates are equal?..
  • To describe the position of a point in space, we need..
  • Which of the following is correct?..
  • Which of the following is correct?..
  • If the coordinates (7, 9, 10) are described as "7 units forward, 9 units right, and 10 uni..
  • If "7 units backward, 11 units right and 5 units down" describes the coordinates (- 7, 11,..
  • On which axis does the point (5, 0, 0) lie?..
  • On which axis does the point (0, 7, 0) lie?..
  • On which axis does the point (0, 0, - 5) lie?..
  • Which is the direction described by the point (0, - 2, 0) with respect to origin?..
  • Which is the direction described by the point (3, 0, 0) with respect to origin?..
  • Which is the direction described by the point (0, 0, - 3) with respect to origin?..
  • Find the coordinates the point R shown...
  • Find the coordinates of the point Q shown...
  • Find the coordinates of the point P shown...
  • Find the coordinates of the point B shown...
  • What does the graph of ax + by + cz + d = 0 represent?..
  • If a plane cuts the x - axis at a point A then A is called..
  • A line that passes through two intercepts of a plane on the coordinate axes is called..
  • Which of the following is correct?..
  • What is the x - intercept of the plane 2x + 5y + 8z = 6?..
  • What is the y - intercept of the plane 6x + 5y + 6z - 40 = 0?..
  • What is the z - intercept of the plane x + y + 2z = 24?..
  • Which of the following is a solution of 2x + 3y - 4z = 1?..
  • Which of the following point does not lie on the graph of x + y + z = 9?..
  • Use Elimination method to solve the system.2x + 8y + z = 514x - y + 2z = 174x - 4y + z =..
  • Use Elimination method to solve the system.2x + y - z = 5x +y + z = 2x - y + 2z = - 3..
  • Use Elimination method to solve the system.9x + y - z = 7- x + 8y + z = 19y + 8z = 16..
  • Use Elimination method to solve the system.x - 3y + 2z = 83x + 4y + z = 5 - 4x + 2y - 9z =..
  • Use Elimination method to solve the system.2x - y + 3z = 9x + y + z = 6x - y + z = 2..
  • Use Elimination method to solve the system.x - 42y = 84y + z = 78x - z = 328..
  • Use Elimination method to solve the system.x + z = 5y + z = 0x - 2y = - 6..
  • Use Elimination method to solve the system.5x + z = 7y - 11x + y = 5 + z113x + 6z = 1..
  • Use Elimination method to solve the system.6x + y = 6z - 1x - z = - 131x + 6 = y - 5z..
  • Use Elimination method to solve the system.11x - y = 11y - z = 11x + 12z = 2..
  • State whether the system is consistent and independent, consistent and dependent or incon..
  • State whether the system is consistent and independent, consistent and dependent, or incon..
  • State whether the system is consistent and independent, consistent and dependent, or incon..
  • State whether the system is consistent and independent, consistent and dependent, or incon..
  • State whether the system is consistent and independent, consistent and dependent, or incon..
  • Solve the system using Elimination method:x21 + y20 = 67x4 - z21 = - 15x - y4 = 105..
  • State whether the system is consistent and independent, consistent and dependent, or incon..
  • State whether the system is consistent and independent, consistent and dependent, or incon..
  • State whether the system is consistent and independent, consistent and dependent, or incon..
  • State whether the system is consistent and independent, consistent and dependent, or incon..
  • Solve the system using Elimination method.w + x - y - z = 0- 2w + x + 4y + 3z = 63w - x + ..
  • Solve the system using Elimination method.w + 4x - z = 3- w + 11x + y + z = 64w + y = 16x ..
  • A company makes pens, batteries, and soaps. A pack of 5 pens and 1 soap costs $52. A pack..
  • If the three sides of a triangle x, y and z are related by the system of equations, 2x - y..
  • The statement, " The product of two odd integers is odd", is:..
  • The statement, " The sum of an odd integer and an even integer is an odd integer", is:..
  • The statement, "The difference of a number and its reversal of a two digit number is a mul..
  • The statement, " the sum of a two digit number and its reversal is a multiple of 11 ", is..
  • The statement, "The square of an even integer is even", is:..
  • The statement, " If the square of an integer is even, then the integer is even", is:..
  • The statement, " If the square of an integer is odd, then the integer is odd", is :..
  • If n is an integer, then which of the following is an odd integer...
  • If n is an integer, then which of the following is an even integer...
  • If p is a prime number other than 2, then p + 1 is:..
  • Find the two numbers whose sum is 30 and the product is maximum...
  • Find two numbers whose difference is 12 and their product is minimum...
  • Find the equation of the axis of symmetry, the coordinates of the vertex, and the x - and..
  • Find the equation of the axis of symmetry, the coordinates of the vertex, and the x - and..
  • Find the equation of the axis of symmetry, the coordinates of the vertex, and the x - and..
  • Find the equation of the axis of symmetry, the coordinates of the vertex, and the x - and..
    		•