Question

Each leg of a 45°-45°-90° triangle measures

14 cm. What is the length of the hypotenuse?

7 cm

 cm

14 cm

 cm

Answer 1

Length of the hypotenuse =
`14√(2)` cm

Explanation:

Each leg of a 45°-45°-90° triangle measures 14 cm

The ratio of given special right triangle is
`x:x:√(2)x`

The variable x represents the sides of the triangle

`√(2)x` represents the hypotenuse of the triangle

Given
`x=14`

WE know the hypotenuse is
`√(2)x`

Replace x with 14

`√(2)(14)`

`14√(2)`

Length of the hypotenuse =
`14√(2)` cm

Answer 2

The hypotenuse of a 45-45-90 triangle is the length of the side times the square root of 2.

The side length is 14 cm, the hypotenuse will be 14√2 cm