HL = Hypotenuse & Leg of a right triangle are congruent to another right triangle.
Step-by-step explanation:
To prove a triangle is congruent to another using HL, you must prove that the triangles have a corresponding 90 degree angles, corresponding congruent hypotenuse side lengths, and corresponding congruent hypotenuse legs.
The triangles here both have 90 degree angles a marked on the figure.
Two ways to Prove:
Reflexive property for the hypotenuse. Properties of a rectangle to prove equal legs.
Let's apply the law of sine to calculate angle C sin(81)/26 = sin(C)/28 0.1646 = sin(C)/28 and sin(C) =1.063. Sine sin(α) cannot be > than 1, so this triangle is invalid