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

`\[BC=√(56)\]`

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.

`\[=>BC^(2)+5^(2)=9^(2)\]`

`\[=>BC^(2)=9^(2)-5^(2)\]`

`\[=>BC^(2)=81-25\]`

`\[=>BC=√(56)\]`