Question

△ABC is a right triangle. m∠A = 32° m∠B=90°; AC = 9 and AB=5. Choose the expression used to find BC?

Answer 1

Answer:

Step-by-step explanation:

The diagram of the right angle triangle is shown in the attached photo.

From the given right angle triangle,

AC represents the hypotenuse of the right angle triangle.

With m∠32 as the reference angle,

BC represents the adjacent side of the right angle triangle.

AB represents the opposite side of the right angle triangle.

To determine BC, we would apply

the Sine trigonometric ratio which is expressed as

Sin θ= opposite side/hypotenuse. Therefore, the expression used to find BC is

Sin 32 = BC/9

BC = 9Sin32

Answer 2

Answer:

$\[BC=\sqrt{56}\]$

Step-by-step explanation:

Triangle ABC is a right triangle.

Angle A is 32 degrees and angle B is the right angle.

Side opposite the right angle is the hypotenuse. So in this case side AC is the hypotenuse. Length of AC is given as 9 cm.

Side AB is given as 5 cm.

In a right triangle , square of the hypotenuse is equal to the sum of the squares of the other two sides.

$\[=>BC^{2}+5^{2}=9^{2}\]$

$\[=>BC^{2}=9^{2}-5^{2}\]$

$\[=>BC^{2}=81-25\]$

$\[=>BC=\sqrt{56}\]$