Question: Find the length of the unknown side, correct to 1 decimal place where necessary.
A ) 3.9
B ) 3.6
C ) 3.8
D ) 4
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.
a2 = 22 + 32
[Pythagoras′ theorem]
3 a2 = 4 + 9 = 13
[22 = 4 and 32 = 9]
4 a = 13
[Take square roots on both sides.]
5 Hence, a = 3.6
Hence the right answer is Option B
Click Here To Go Back
Few Other Questions -
sin [Cos-1(-35)] = ?..Sin-1(cosπ3) = ?..Find the value of Cot-1(sinπ2)...Find the value of sin (π4+Cos-1(22))...Find the value of cos (π3+Tan-1(1))...Find the value of cot [Csc-1(2)-Sec-1(2)]...cos [π2-Sin-1(-12)] = _________...Sin-1(1-2sin2 θ)+Cos-1(2cos2 θ - 1) = __________...sin (2 Cos-1(35)) = _______...cos [2 Tan-1(17)] = _________...The measure of one acute angle of a right triangle is 78°. Find the other acute angle ..The measure of one acute angle of a right triangle is 32° 43′. The other acute a..In right triangle PQR, if ∠Q = 90°, ∠R = 22° and q = 35, then the measure ..In right triangle ABC, if ∠B = 90°, ∠C = 70° and c = 18, then the measure ..In right triangle DEF, if ∠D = 42°, ∠E = 90° and f = 32, then the measure..In right triangle PQR if ∠Q = 90°, ∠R = 30° and r = 12, then the measure o..In right triangle PQR if ∠Q = 90°, if p = 5 and r = 12, then find the measure of &..In right triangle PQR, if ∠Q = 90°, p = 32, and r = 13, then find the measure of &..In an isosceles triangle PQR, if p = 13, q = 13, and r = 20, then what is the measure of &..In an isosceles triangle ABC, if b = 18, c = 18 and ∠C = 50°, then the length (to ..In an isosceles triangle ABC, if b = 20, c = 20 and ∠C = 70°, then the length (to ..In an isosceles triangle STV if s = 14, v = 14 and t = 22, then find the measure of ∠..The angle of elevation of the top of a pole measures 48° from a point on the ground 18..In right triangle ABC, if ∠C = 90°, ∠B = 28°20′, and b = 11.8, then ..In right triangle PQR, if ∠Q = 90°, ∠P = 42°10′ and q = 23.4, then t..In right triangle STQ, if ∠T = 90°, q = 10.6 and ∠S = 43°50′, then t..In right triangle DEF, if ∠E = 90°, d = 15.3, and f = 23.1, then what is the measu..In right triangle ABC, if ∠B = 90°, B = 45.8, and c = 31.2, then what is the meas..A pillar of height 200 ft casts a shadow of 320 ft long. Find the measure of the angle of ..A boy stands at 190 m from the base of a tower whose height is 300 m. Find the angle of de..In the figure, if ∠R = 90°, ∠P = 35°25′, ∠QSR = 62°30′..In the figure, if ∠C = 90°, ∠A = 34°20′, DC = 8.4 and BC = 20.5, the..A flagpole is placed on top of the building. From a point on the ground 250 ft from the b..A pole is of height 150 m. Two boys on either side of the pole observed the angles of elev..Which is a method of estimating the co-ordinates of a point that lie between two given dat..Which is a method of estimating the co-ordinates of a point that lie to the right or left ..The cost x on advertising in millions of dollars of a company can be modeled by the equati..Sam's annual income is as per the table. Write a linear model for the data. Let y represen..Choose a linear model for the data as per the table and predict the value of d when t is 1..The number of women competing in a beauty contest from 1995 to 1999 is shown in the table...The table shows the number of passengers who traveled from New York to Seattle between 196..The scatter plot shows the change in gravity (rounded to the nearest tenth) as the altitud..Use the graph to estimate the solution of the linear system. Check the solution algebraica..Use graph-and-check method to solve the linear system. 4y = x - 12y + x = 2..Estimate the solution of the linear system using the graph. Then check the solution algebr..Which of the following linear system matches with the linear system in the graph?..Estimate the solution of the linear system using the graph given. Also check algebraically..Estimate the solution of the linear system using the graph given. Check the solution algeb..Estimate the solution of the linear system using the graph given. Check the solution algeb..Estimate the solution of the linear system using the graph given. Check the solution algeb..Estimate the solution of the linear system using the graph given. Then check the solution ..Estimate the solution of the linear system using the graph given. Then check the solution ..Estimate the solution of the linear system using the graph. Then check the solution algebr..Find the number of solutions the linear system has.8x + y = 68x + y = 7..How many solutions does the linear system have?- 48x + 8y = - 896x - y = - 11..Find the number of solutions the linear system has, using the substitution method.x + 7y =..Find the number of solutions the linear system has, using the substitution method.x + 6y =..Use the substitution method to find the number of solutions for the linear system.x - 2y =..Find the number of solutions the linear system has.- 40x - 5y = 68x + y = - 8..Find the number of solutions the linear system has.- 7x + y = 2- 49x + 7y = 14..Find the number of solutions the linear system has, using linear combinations.- 2x + y = -..Find the number of solutions the linear system has, using the substitution method.7x + y =..Find the number of solutions of the linear system using the substitution method.- 14x + 15..Use graphing method to find the number of solutions for the linear system.y = - x - 12y = ..Find the number of solutions the linear system has by using the graphig method.x + 4y = 1x..Use the graphing method to find the number of solutions for the linear system.- 2x + y = -..Use graphing method to find the number of solutions for the linear system.2x + y = - 122x ..Matt breaks a stick that is 93 cm into two pieces. Find the length of one piece if the len..Find the value of x, if | x + 9 | = - 16...The formula for the volume of a rectangular pyramid is V = (13) lwh. Find the height (h) o..The formula C = 59(F - 32) is used to convert temperature from Celsius (C) scale to Fahren..Find the ordered pair which is not the solution of the equation. y = x7 + 12..Find the ordered pair which is the solution of the equation.y = x + 1..Find the ordered pair which is the solution of the equation. y = 7x - 2..Find the ordered pair which is the solution of the equation. y = x - 13..Find the ordered pair which is the solution of the equation.y = - x - 2..Find the ordered pair which is the solution of the equation. 7y = - x - 1..Find the ordered pair which is not the solution of the equation.2y = 2x + 1..Find the ordered pair which is not the solution of the equation.10y = 10x - 1..Which of the graphs represents the function f(x) = (13)x + 1?..Pick the graph representing the equation. f(x) = - (12)x - 1...Which of the graphs represents the equation x = - 5?..Choose a graph that represents the equation x = - 12...Which of the following equations represents the equation of the pink line in the graph?..Which of the following ordered pairs is the solution of the equation y = 4x - 5?..Which of the graphs represents the function f(x) = 2x + 1 for x = 0, 1, 2, 3?..Which of the functions represents the graph?..Which of the graphs represents the function y = - |2x| + 1?..Choose an appropriate graph for the function y = - |x|...Choose the function for the graph...Which of the graphs represents the equation x + 5y = 10?(Solve by using x-intercept and y..Which of the graphs represents the equation x + y = 6?..Identify an equation of a line perpendicular to the line y = - 17x + 1...Which of the following lines is perpendicular to the line passing through the points (- 7,..Choose an equation of the line passing through the point (- 7, - 3) and perpendicular to t..What is the equation of the line passing through the point (- 8, 7) and perpendicular to t..Choose an equation of the line parallel to y + 7x = 10 and having y-intercept 20...For what values of k, the lines y = 12x + 3 and y = px + 1 are parallel?..Are the two lines y = 8x + 11 and y = - 18x + 16 perpendicular?..Are the two lines y = - 3x - 11 and y = - 13x + 11 perpendicular?..
|
|
