Question

The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles right triangle. What is the area of the triangular base? What is the length of edge DF?

Answer 1

Answer:

8 and 4

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

volume = area of base * height = area of base * 9 = 72

-> area of base = 72/9 = 8

let a,b,c be the length of sides of isosceles right triangle base

we have a = b and a*b/2 = 8 ft2

-> a*a/2 = 8ft2

-> a*a = 16

-> a=4ft=b

have c^2 = a^2 + b^2 = 16 +16 = 32

-> c = $\sqrt{32}$ = 5.656 ft

Since i dont know that is DF, i calculate both a,b and c