Question

Which proportion satisfies the geometric mean (altitude) theorem for the triangle? startfraction 2 over h endfraction = startfraction 3 over m endfraction startfraction 2 over n endfraction = startfraction 3 over h endfraction startfraction 2 over h endfraction = startfraction h over n endfraction startfraction 2 over h endfraction = startfraction h over 3 endfraction

Answer 1

The proportion that satisfies the geometric mean (altitude) theorem for the triangle is 2/h = h/3

Triangular altitutude theorem

According to the theorem, the ratio similar sides of a right triangle are equal. From the given diagram, we are to determine the proportion satisfies the geometric mean (altitude) theorem for the triangle.

Taking the ratio of the base to the height, we will have:
MK/KL = KL/KN

Substitute the measure of the sides

2/h = h/3

Hence the proportion that satisfies the geometric mean (altitude) theorem for the triangle is 2/h = h/3

Learn more on mean altitude theorem here; brainly.com/question/10216660