Question

this theorem states that if each leg in a right triangle is congruent to a leg and another right triangle, then the two triangles must be congruent. use the diagram below to prove the LL theorem for the right triangles

Answer 1

If both of the two legs are the same length, the distance between the two endpoints of each line (leg) must be the same distance. This means that the hypotenuse MUST be the same length. Using SSS, since all 3 sides must be the same length, the triangles are congruent.