the area of a triangle is 27. its height is 3 times the base. find the height and the base of the triangle.

Answer 1

a = 1/2 bh
h = 3b

a = 1/2 b*3b = 3/2 b^2

27 = 3/2 b^2
18 = b^2
b = 3√2
h = 9√2

check: a = 1/2 (3√2)(9√2) = 1/2 (27)(2) = 27