Hypotenuse Leg Theorems

In a 45-45-90 triangle, if the legs are 5 units each, what is the length of the hypotenuse?

• 5√2 units

• 10 units

• 5 units

• 7.5 units

In a 45-45-90 triangle, if the hypotenuse is 12 units, what is the length of each leg?

• Each leg is 12 + √2 units

• Each leg is 12 * √2 units

• Each leg is 12 - √2 units

• Each leg is 12 / √2 units

Are the triangles shown congruent?

• Yes, by HL

• Yes, by SAS

• Yes, by SSS

• Not enough information

True or False

These two triangles are congruent by HL.

(Think about our two questions)

• False

• True

Reorder the steps to the proof.

• Given

• Definition of right triangles

• Reflexive Property

• HL

'HL' stands for​ (a)   ​ (b)  

• Hypotenuse

• Leg

• Happy

• Hippopotamus

• Hexagonal

• Lobster

• Line

• Length

Select the hypotenuse (click on the dot).

Select the legs of the right triangle. (Click on the dot)

Which is NOT a criteria for triangles to be congruent by the HL Theorem?

• Right triangles

• congruent hypotenuses

• Two pairs of congruent legs

• One pair of congruent legs

Does HL work to prove the triangles are congruent?

• Yes

• No