Question

You have two right triangles and you are trying to prove the HL postulate how do i do this in a paragraph proof?

Answer 1

A relatively minor point but you cannot prove a postulate. A postulate is a statement accepted without proof. It is the HL theorem you want to prove.

>prove the HL postulate

Let me think about how to do it. If I can knock it out in a two-column proof form, you may have to adapt it into a paragraph proof.

@Speedy_Jazz

Answer 2

Thank you that would help a lot

Answer 3

Great news - there are two HL Theorem proofs at this link. Check out what is written and see what you think. The proof is messy as you will see. I don't mean that it is incorrect, just messy.

http://www.mathcaptain.com/trigonometry/hypotenuse-leg-theorem.html

Answer 4

Given: Triangles ABC and DEF;
Angles C and F are right angles
Segment AB ≅ Segment DE (hypotenuses of HL for the "H" in HL Theorem)
Segment BC ≅ Segment EF (legs of HL for the "L" in HL Theorem)

Prove: Triangle ABC ≅ Triangle DEF

By the Ruler Postulate, there is a point G on the ray opposite to ray FD such that segment FG ≅ segment CA. Draw segment GE.

@Speedy_Jazz