Question

the height of a triangle is twice the length of its base. The area of the triangle is 50 m^2. Find the height and base to the nearest tenth of a meter

Answer 1

base = 7.1 m and height = 14.2 m

Explanation:

The formual fo ana area of a triangle:

`A=(bh)/(2)`

b - base

h - height

We have A = 50 cm² and h = 2b. Substitute:

`((b)(2b))/(2)=50\\\\b^2=50\to b=√(50)\ m\to b\approx7.1\ m\\\\h=2b\to h=2(7.1)=14.2\ m`