Question

A right triangle's height is 4 times the length of its base. If the area of the triangle is 800, what is the height? A. 80 b. 84 c. 20 d. 79 e. 83 f. 77 g.None of the

Answer 1

A

Explanation:

the area (A) of a triangle is calculated as

A =
`(1)/(2)` bh ( b is the base and h the height )

let b represent the base then height h = 4b

given A = 800 , then

`(1)/(2)` × b × 4b = 800

`(1)/(2)` × 4b² = 800 , that is

2b² = 800 ( divide both sides by 2 )

b² = 400 ( take square root of both sides )

`√(b^2)` =
`√(400)` , that is

b = 20

then height h = 4b = 4 × 20 = 80