Question: Find the length of the unknown side, correct to 1 decimal place if necessary.
A ) 6.8
B ) 5.5
C ) 4.9
D ) 7.5
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.
92 = 52 + h2
[Pythagoras′ theorem]
3 81 = 25 + h2
[92 = 81 and 52 = 25]
4 81 - 25 = h2
[Subtract 25 on both the sides.]
5 h2 = 56
6 h = 56 = 7.5
[Take square root on both sides.]
7 Hence, h = 7.5
Hence the right answer is Option D
Click Here To Go Back
Few Other Questions -
What is the number of real solutions of the system of equations (x24) + y2 = 1, (x - 1)2 +..What is the number of real solutions of the system of equations (x24) +( y29) = 1 , x2 + ..What is the number of real solutions of the system of equations (x29) + (y24) = 1, y = x2 ..What is the number of real solutions of the system of equations (x24) + (y29) = 1, y = - ..What is the number of real solutions of the system of equations, x2 - 4y2 = 4, x - 4y = 2 ..What is the number of real solutions of the system of equations, 4x2 - 9y2 = 36, y2 = x ..What is the number of real solutions of the system of equations, 9x2 - 4y2 =36, y = x2 - 5..The real solution of the system of equations x2 + y2 = 4, x2 + (y - 3)2 = 1 is ?..Find the real solutions of the system of equations x2 + y2 = 8, y = x...Which of the following represents the system of inequalities x2 + y2 ≤ 8, x - y ≤ 1?..Which of the following represents the system of inequalities 4x2 + 16y2 ≤ 64, 2x + y &..Which of the following represents the system of inequalities x2 + y2≤ 1, y ≤- x2?..Which of the following represents the system of inequalities x2 + 4y2 ≤ 4, x2 + y2 &ge..Which of the following represents the system of inequalities x2 + 4y2 ≤ 4, y2- x ≥ ..Which of the following represents the system of inequalities x2 + 4y2 ≤ 4, 3x2 - 2y2 &..Find the vertices of the hyperbola 16x2 - y2 = 16...Find an equation of the hyperbola with foci (- 5, 0) and (5, 0) whose conjugate axis has l..Find the standard form of the equation for the hyperbola whose transverse axis has end poi..Find the foci of the hyperbola (x - 4)²256 - (y + 9)²144 = ..If e is the eccentricity of a hyperbola, then which of the following is correct?..Find the eccentricity of the hyperbola 9y² - 16x² = 144...Find an equation in the standard form for the hyperbola with center at (0, 0), a = 4, e = ..Find the vertices of the hyperbola 25x² - 16y² - 50x - 32y - 391 = 0...According to Boyle's law PV = constant. Which of the following ordered pair fail to satisf..If the strength of a beam is inversely proportional to its length (s ∝ 1l), then how ..The area of a rectangular plot is 5600 m2. Into how many sub-plots can it be divided such ..A sprinter completes a 200 m race in 5.5 seconds and wins a silver medal. If the winner of..A sprinter completes a 100 m race in 15.7 seconds and wins a silver medal. If the winner o..The intensity(I) of light varies inversely as the square of the distance(d) between the li..The intensity(I) of light varies inversely as the square of the distance(d) between the li..If x and y are varying so that their product is 162, which of the following is the graph o..A graph shown below is plotted with pressure in atmosphere on y-axis and volume in m3 on x..Gay-lussac's law states that at fixed volume, for a given amount of ideal gas the pressure..Write a direct variation equation for the set {....(1, 2), (2, 4), (3, 6)....}...y varies with x as y = kx2. Which among the following figures represents the graph when k ..x ∝ 1y and y is 53 when x is 12. Find the constant of variation...The density of 96 % sulfuric acid is 1.83 kg/l. Find the volume occupied by 1 ton of the a..Matt is taller than Joe. They race round a circular park with radius 56 m. It is found tha..Dennis is taller than Arthur. They race round a circular park with radius 35 m. It is foun..y varies directly as x and z, and y = 90 when x = 2, z = 5. Find y when x = 2 and z = 10...The velocity of a wave directly varies with its frequency and wavelength. Find the frequen..Kepler's third law states that "the square of the orbital period (T) of a planet is propo..Two meshed gears have 24 teeth and 113 teeth respectively. What is the speed of the first ..Which of the following equations correctly represents the phenomenon of gravitational forc..Area of the triangle varies directly its base b and height h. Find the constant of variati..The area of a triangle varies directly its base b and height h. What are the units of the ..Is the statement, 'Any constant of variation does not possess a unit', is true or false?..Which of the pairs represents the relationship depicted by the curve shown...Whether any real zero exists between - 2 and 0 for the function f(x) = x3 + x - 3?..Whether any real zero exists between - 2 and 0 for the function f (x) = x3 + x + 9?..Whether any real zero exists between - 2 and - 1 for the function f(x) = x4 + x3 - 2x2 + 1..Whether any real zero exists between 0 and 1 for the function f(x) = x3 - 8x2 + 8x + 48?..Choose the graph of the function f(x) = x3 - 2x2 - x + 2...Find the real zeros of the function f(x) = x3 - x2 - 2x...Which of the following represents the graph of f(x) = x3 - 9x2 + 26x - 24 and its real zer..Which of the following represents the graph of f(x) = x3 - 4x2 + 5x - 2 and its real zeros..Find the sum of the real zeros of the function f(x) = x3 - 7x + 6 ?..Which of the following represents the graph of f(x) = 4x3 - 4x2 - x + 1 and its real zeros..Which of the following represents the graph of f(x) = 2x3 -3x2 - 5x + 1 and its real zeros..Which of the following represents the graph of f(x) = 3x3-11x + 5 and its non integral rea..Choose the graph of f(x) = x3 - 3x2 - 3x + 4..Which of the following represents the graph of f(x) = x4 + 4x3 - 7x2 - 22x + 24 and its re..Which of the following represents the graph of f(x) = 4x4 + 4x3 - 17x2 - 9x + 18 and its n..The graph of the function f(x) = x4 - 12x2 + 3x + 8 shown in the figure. Find its non inte..Choose the graph of the function f(x) = x5 - 2x4 - 3x3 - 5x2 + 3x + 4. [Use a graphing ca..Which of the following is a real zero, to the nearest hundredth, between 1 and 2 for the f..Which of the following is a real zero, to the nearest tenth, between 0 and 1 for the funct..Which of the following is a real zero, to the nearest hundredth, between - 3 and - 2 for t..Use a calculator to find a real zero to the nearest tenth between 3 and 4 for the function..Which of the following is a real zero to the nearest hundredth between - 1 and 0 of y = x..Which of the following represents the graph of f(x) = 4x3-8x2-15x + 5 and its non integral..The length, width and height of a rectangular shed are 3m, 2m and 1m respectively. The vol..Choose a graph for the inequality, | y | ≤ 5...Graph the linear inequality: |x| ≥ 3..Graph the system of linear inequalities: 2y + 4x < 2, |y| ≥ 3..Graph the system of linear inequalities: |x - 2| ≤ 5, |y + 3| ≥ 7..Graph the system of linear inequalities.|x + y| ≤ 5|x| ≥ 0|y| ≥ 0..Write an inequality that has (2, 3), ( - 2, 4), ( - 4, - 5) and (5, - 2) as solutions...A school enrolls students based on their performance in the written test and communicatio..A school enrolls students based on their performance in the written test and communication..A school enrolls students based on their performance in the written test and communicatio..A school enrolls students based on their performance in the written test and communication..Solve the system of equations by substitution: x - 3y + z = 0, 2y + 3z = 1, and z = - 2..Solve the system of equation by substitution: 3x - y + 2z = - 2, y + 3z = 3, and 2z = 4..Solve the system of equations by substitution: 2x - y = 10, x - z = - 1, and y = - 9..Solve the system of equation using Gaussian elimination method: x + y = z, 2x - z = y, an..Solve the system of equations using Gaussian elimination method: 2x - y = 10, x - z = - 1..Solve the system of equations by using Gaussian elimination method: x + y + z = - 3, 4x -..Solve the system of equations by Gauss elimination method: x + 2y = 4, 3x + 4y = 5, and ..Choose the matrix after performing the elementary row operation 6R1 + 5R3 on the matrix (2..Choose the matrix after performing the elementary row operation 5R1 + R2 on the matrix (14..Perform the elementary row operation (-1)R3 + R1 on the matrix (3151-12013)...Choose the augmented matrix corresponding to the system of equations: x + z = 2, y - z = 1..Choose the augmented matrix corresponding to the system of equations: 2x - 5y + z - w = - ..Write the augmented matrix corresponding to the system of equations: 3x - 2y = 5, - x + 5y..Write the augmented matrix corresponding to the system of equations: x + y + z = 1, x - y ..Choose the system of equations corresponding to the augmented matrix (142215)...Write the system of equations corresponding to the augmented matrix (21-234120)...Write the system of equations as a matrix equation AX = B, with A as the coefficient matri..Write the system of equations as a matrix equation AX = B, with A as the coefficient matri..
|
|
