Question

What is the hypotenuse-angle theorem?

Answer 1

Theorem -, hypotenuse-angle congruence, states that if the hypotenuse and acute angle of a right triangle are congruent to their counter parts on another right triangle, the triangles are congruent. This theorem is much like angle-angle side (AAS). AAS states that if two angles and a non-included side of two triangles are congruent, then the two triangles are congruent. The small difference is once again the right angle. In Hypotenuse-angle congruence (HA), one of the angles is right, and since all right angles are congruent to all right angles, they leave that angle out of the theorem explanation

Answer 2

c^2 = a^2 + b^2

where c is the hypotenuse
and a,b are the other sides

Answer 3

(HA): If the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and corresponding acute angle of another right triangle, then the two triangles are congruent.

Answer 4

For right triangles,


c^2 = a^2 + b^2

where c is the hypotenuse
and a,b are the other sides