## What is the HL Theorem?

What is the HL Postulate? The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

## What is the HL method?

The HLR (Hypotenuse-Leg-Right angle) theorem — often called the HL theorem — states that if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent. You know you have a pair of congruent sides because the triangle is isosceles.

What theorem is HL?

The hypotenuse leg (HL) theorem states that; a given set of triangles are congruent if the corresponding lengths of their hypotenuse and one leg are equal.

What is HL Theorem?

### What is X in Pythagorean?

Example 1 (solving for the hypotenuse) Use the Pythagorean theorem to determine the length of X. X is the hypotenuse because it is opposite the right angle.

### How do you find the value of X and Y?

What are the values of x and y?

1. Step One: We need to find a way to equate either the x terms of the y terms in each equation.
2. Step Two: Take equation b) from equation a) to eliminate the x component.
3. Step Three: substitute the value of y into either equation to find the value of x.

How do you find HL in geometry?

1. The longest side of a right triangle is called its hypotenuse.
2. The HL Theorem states; If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Which is the best example of the HL theorem?

HL Theorem. The Hypotenuse Leg Theorem, or HL Theorem, tells us a suspiciously similar story: The HL Theorem states; If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

#### How to prove the hypotenuse leg theorem?

The hypotenuse leg theorem states that two right triangles are congruent if the hypotenuse and one leg of one right triangle are congruent to the other right triangle’s hypotenuse and leg side. In order to prove any two right triangles congruent, we apply the HL (Hypotenuse Leg) Theorem or the RHS (Right angle-Hypotenuse-Side) congruence rule.

#### Is the HL of a right triangle congruent?

The HL Theorem states; If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Which is an example of the HL postulate?

The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent. Hypotenuse Theorem Example