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

Answer:

height = 14.2 m , base = 7.1 m

Step-by-step explanation:

let the base be b then height h = 2b

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh

Here A = 50 , then

$\frac{1}{2}$ × b × 2b = 50

b² = 50 ( take square root of both sides )

b = $\sqrt{50}$ ≈ 7.1 ( to the nearest tenth )

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