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

Answer:

$a=82.85\ units$

Step-by-step 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

$a^2=155^2-131^2$

$a^2=6,864$

$a=82.85\ units$