A 45-45-90 triangle with hypotneuse length 12 inches find the perimeter and area?

Question

No additional info

Answer 1

a² + b²= c²

 

so x² + x²= 144

 

x²= 72

 

x= square root of 72

 

each of the 2 shorter sides = square root of 72, which is about 8.48

 

Perimeter = 12 + 8.48 + 8.48 = about 28.96 inches

 

Area = 1/2 x 12 x 8.48 = about 50.88 sq inches

 

hope this helps!

 

matt in ny

Answer 2

Say, the size of triangle side=x inches

So,2x^2=12

x^2=6

x=sqrt(6)

 

area=0.5x^2

       =0.5*6

        =3

 

Perimeter=12+2*sqrt(6)