Question

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.

9 ft

2.5 ft

9.4 ft

7.5 ft

Answer 1

Given:

In a right angle triangle, the measures of two legs are 5 ft and 5.6 ft. The measure of the hypotenuse is x.

To find:

The value of x.

Solution:

Pythagoras theorem: In a right angle triangle,

`(Hypotenuse)^2=(Base)^2+(Perpendicular)^2`

Using Pythagoras theorem, we get

`(x)^2=(5)^2+(5.6)^2`

`x^2=25+31.36`

`x^2=56.36`

Taking square root on both sides, we get

`x=√(56.36)`

`x=7.50733`

`x\approx 7.5`

The measure of missing side is 7.5 ft. Therefore, the correct option is D.