Question

If c is the hypotenuse of a right

triangle, find the missing side. If
necessary, round to the nearest
hundredth.
c= 155, b = 131, a = [ ? ]

Answer 1

`a=82.85\ units`

Explanation:

we know that

The Pythagoras Theorem states that in a right triangle

`c^2=a^2+b^2`

where

c is the hypotenuse

a and b are the legs of the right triangle

In this problem we have

`c=155\ units\\b=131\ units`

substitute the values

`155^2=a^2+131^2`

solve for a

`a^2=155^2-131^2`

`a^2=6,864`

`a=82.85\ units`