Question

A right triangle has a hypotenuse of 155 centimeters and a leg of 124 centimeters. Which of these is the length of the other leg?

a. 93 cm
b. 97 cm
c. 103 cm
d. 107 cm

Answer 1

a

Explanation:

Using Pythagoras' identity on the right triangle

let x be the other leg to be found, then

155² = 124² + x²

24025 = 15376 + x² ( subtract 15376 from both sides )

8649 = x² ( take the square root of both sides )

`√(8649)` = x

Hence x = 93 cm ← length of other leg → a