the base of a triangle exceeds twice its height by 18 m. If the area of the triangle be 360 sq. m., what is its height?

Answer 1

Area of a triangle is 1/2 base x height. Let's call the height h. Base is 2h + 18 (twice its height + 18). You know 1/2 base x height = 360. Plug in h for height and 2h+18 for base.

1/2(2h+18) x h = 360

Multiply the parenthesis by 1/2. (h + 9) x h = 360

Then solve for h.

Answer 2

Hi Isaac,

Use the info they give you and the formula for the area of a triangle to solve!

For a triangle, A = 1/2 B x H

Reading the first sentence, B = 2H + 18 (Base is twice (2x) height and exceeds (plus) by 18)

A = 360 sq.m, so now you can sub and solve:)