In a proof of the Pythagorean theorem using similarity, what allows you to state that the triangles are similar in order to write the true proportions StartFraction c Over a EndFraction = StartFraction a Over f EndFraction and StartFraction c Over b EndFraction = StartFraction b Over e EndFraction?

the geometric mean (altitude) theorem
the geometric mean (leg) theorem
the right triangle altitude theorem
the SSS theorem

In proof of the Pythagorean theorem using similarity, the right triangle altitude theorem allows us to state that the triangles are similar.

What is geometric mean(altitude) theorem?

We know that the geometric mean (altitude) theorem states that the altitude is equal to the geometric mean of the two segments.

We know that the geometric mean (leg) theorem states that a leg is the geometric mean between the hypotenuse and the leg's projection on it in every right triangle.

We know that the right triangle altitude theorem states that If we draw an altitude in a right triangle from the vertex which contains the right angle to the opposite side, the triangles on both sides of the altitude are congruent, and the entire triangle is congruent as a result.

We know that the SSS theorem If the three sides of one triangle are equal to the three sides of the other, then the two triangles are congruent.

How to tackle the problem?

Here, we have to find the specific theorem which demonstrates the equality of proportionate values in the Pythagorean theorem. From the above theorems, we can conclude that our required theorem is the right triangle altitude theorem.

Therefore In proof of the Pythagorean theorem using similarity, the right triangle altitude theorem allows us to state that the triangles are similar. So, option C is correct.

Learn more about the right triangle altitude theorem here -

https://brainly.com/question/4470400

#SPJ2