Question

The height of a triangle is twice the length of its base. The

area of the triangle is 50 m². Find the height and base to
the nearest tenth of a meter.

Answer 1

height = 14.2 m , base = 7.1 m

Explanation:

let the base be b then height h = 2b

The area (A) of a triangle is calculated as

A =
`(1)/(2)` bh

Here A = 50 , then

`(1)/(2)` × b × 2b = 50

b² = 50 ( take square root of both sides )

b =
`√(50)` ≈ 7.1 ( to the nearest tenth )

Then base = 7.1 m and height = 2 × 7.1 = 14.2 m