Triangle Congruence: HL

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

1. Select the SEGMENT WITH GIVEN LENGTH Toolbar Image tool, and enter a length of 8. 2. Select the PERPENDICULAR LINE Toolbar Image tool. Click on segment AB and then on point A. 3. Select the CIRCLE: CENTER & RADIUS Toolbar Image tool. Click points B, and enter a radius of 17. 4. Use the INTERSECT Toolbar Image 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).