Question

The base of a triangle measures 21 inches. what is the measure of the corresponding midsegment of the triangle

Answer 1

A mid-segment: is a segment connecting the half-sides of the other two triangle sides (median to both) and parallel to the base.

we can say that the two triangles are similar the one with the mid-segment as base and the one with the base as base

0.5AB/AB = mid-segment/base

mid-segment = 0.5 base = 0.5 x 21 = 10.5 inches