Problema Solution

A right triangle has legs with lengths x units and 7 units. The hypotenuse has length x+1 units. Find the perimeter of the triangle

Answer provided by our tutors

The equation for finding the perimeter is:

P=x+7+x+1

but since we do not kniw x yet, we have to find another equation that can help us solve for x, which is the Pythagorean Theorem.

x2+72=(x+1)2

x2+49=x2+2x+1

x2-x2-2x=1-49

-2x=-48

x=-48/-2

x=24

Substitute this value to the formula for the perimeter.

P=24+7+24+1

P=56