What is the perimeter and area of a right triangle with a hypotenuse of 26 and a leg of 24?

1 Answer
May 23, 2018

"Perimeter" = 60 and "Area" = 120

Explanation:

Assign the sides b = 24 and c = 26

Use the Pythagorean theorem,

c^2 = a^2 + b^2

,to find the length of side a:

a = sqrt(26^2-24^2)

a = 10

The perimeter is:

"Perimeter" =a +b +c

"Perimeter" =10 +24 +26

"Perimeter" = 60

The area is:

"Area" = 1/2bh

If we select side b as the base, then side a is the height:

"Area" = 1/2(24)(10)

"Area" = 120