In this lesson we will examine one final way to show that two triangles are congruent. this theorem only
applies to right triangles.
hypotenuse-leg (h. l.)
if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another, then the
two right triangles are congruent.
exercise #1 (proof of hl): in the diagram below, triangles aabd and acbd are given such that ba and bc
are equal and bdi ac.
(a) why does this fit the general scenario of hypotenuse-leg?
(b) why can we conclude that zaz zc ? !
(c) are there any other angles in the two triangles
that are equal?
(d) what theorem can we now use to justify that
aabd acbd?