Question

he formula for the area of a triangle is a =1/2bh, in which b represents the length of the base and h represents the height. if a triangle has an area of 105 mm2 and the height is 10 mm, what is the measure of the base?

Answer 1

Substitute the given numbers into the formula a = 1/2bh, where b is the base of the triangle and h is the height of the triangle.

You are given the area, 105 mm^2 and the height, 10 mm^2, so substitute 105 for a and 10 for h; solve for the unknown variable b.

(105) = 1/2b(10), start by multiplying 1/2 and 10.

(105) = 5b, divide both sides of the equation by 5.

b = 21

The measure of the triangle's base is 21 mm.