Question

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

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

$x=\sqrt{56.36}$

$x=7.50733$

$x\approx 7.5$

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