Question

the hl theorem proves these triangles are congruent.
true
false

Explanation:

The HL (Hypotenuse - Leg) theorem states that if the hypotenuse and one leg of a right - triangle are congruent to the hypotenuse and one leg of another right - triangle, then the two right - triangles are congruent. In the given diagram, we have an isosceles triangle with an altitude (the segment with the right - angle and the double tick mark) drawn to the base, creating two right - triangles. The hypotenuses of the two right - triangles (the equal - length sides of the original isosceles triangle, marked with single tick marks) are congruent, and they share the leg (the altitude with the double tick mark). So, by the HL theorem, the two right - triangles are congruent.

Answer:

True