# Triangle Congruence: HL

- Author:
- brentsiegrist

- Topic:
- Congruence, Geometry

## Construct a right triangle with a hypotenuse of length 17 and a leg of length 8.

1. Select the SEGMENT WITH GIVEN LENGTH tool, and enter a length of 8.
2. Select the PERPENDICULAR LINE tool. Click on segment AB and then on point A.
3. Select the CIRCLE: CENTER & RADIUS tool. Click points B, and enter a radius of 17.
4. Use the INTERSECT tool to mark the third vertex of your circle as point C.

Construct a right triangle with a hypotenuse of length 17 and a leg of length 8. What are the other two angles? What is the third side? (Confirm the third side with the Pythagorean Theorem).

Construct a right triangle with a hypotenuse of length 13 and a leg of length 5. What are the other two angles? What is the third side? (Confirm the third side with the Pythagorean Theorem).