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What is the hypotenuse leg theorem?

Updated: 4/28/2022
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If two right triangles have

(hypotenuse and a leg of one) = (hypotenuse and the corresponding leg of the other)

then the triangles are congruent.

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8y ago
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Q: What is the hypotenuse leg theorem?
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Continue Learning about Geometry

How do you find another leg in Pythagorean theorem with the hypotenuse given?

The square of the hypotenuse minus the square of the leg you know will give you the square of the unknown leg.


What does the HL Congruence Theorem state?

HL Congruence Theorem says: If the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two right triangles are congruent.sss


A right triangle has leg lengths 5 and 12 the length of the triangles hypotenuse h is?

Using Pythagoras' theorem the length of the hypotenuse is 13 units


What is the hypotenuse if one leg is 7 in and the other leg is 11 in?

If its a right angle triangle then by using Pythagoras' theorem its hypotenuse is the square root of 170 which is about 13.038 inches rounded to three decimal places


What are the four congruence theorems for a right triangle?

The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.

Related questions

What is the hl theorem?

The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg arecongruent triangles.


How do you find another leg in Pythagorean theorem with the hypotenuse given?

The square of the hypotenuse minus the square of the leg you know will give you the square of the unknown leg.


What is HYL Congruence Theorem?

HyL Congruence Theorem : if a leg and the hypotenuse of one right triangle are congruent to a corresponding leg and the hypotenuse of another right triangle,then the triangles are congruent._eytiin cu ;)


Can you explain the Pythagoras theorem?

The theorem is a2+b2=c2 To explain, the legs of a triangle are labeled with a and b, but it doesn't matter which leg is labeled with which letter. The hypotenuse is always labeled with c. The theorem is that the sum of the two leg lengths squared is the square of the hypotenuse.


What does the HL Congruence Theorem state?

HL Congruence Theorem says: If the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two right triangles are congruent.sss


What are right triangle congruence theorem?

1.HyL Theorem (Hypotenuse-Leg) - if the hypotenuse and leg of one triangle is congruent to another triangle's hypotenuse and leg, then the triangles are congruent. 2.HyA (Hypotenuse-Angle) - if the hypotenuse and angle of one triangle is congruent to another triangle's hypotenuse and angle, then the triangles are congruent. 3.LL (Leg-Leg) if the 2 legs of one triangle is congruent to another triangle's 2 legs, then the triangles are congruent. 4.LA (Leg-Angle) if the angle and leg of one triangle is congruent to another triangle's angle and leg, then the triangles are congruent.


What is the theorem that states a right triangle the sum of the squares of the leg lengths is equal to the square of the hypotenuse length?

It is Pythagoras' theorem


What is a Hypothenus leg?

The Hypotenuse leg applies to right triangles. It is the longest of the three sides of the triangle. The hypotenuse is denoted by c in the Pythagorean Theorem. a2 + b2 = c2


What are the four congruence theorem for right triangle?

four types aressssasrhsasa1.HyL Theorem (Hypotenuse-Leg) - if the hypotenuse and leg of one triangle is congruent to another triangle's hypotenuse and leg, then the triangles are congruent.2.HyA (Hypotenuse-Angle) - if the hypotenuse and angle of one triangle is congruent to another triangle's hypotenuse and angle, then the triangles are congruent.3.LL (Leg-Leg) if the 2 legs of one triangle is congruent to another triangle's 2 legs, then the triangles are congruent.4.LA (Leg-Angle) if the angle and leg of one triangle is congruent to another triangle's angle and leg, then the triangles are congruent.


In a right triangle the length of the hypotenuse is 20 inches and the length of one leg is 15 inches what is the length of the other leg?

There is a famous theorem that you use to solve this problem, namely the Pythagorean theorem which says that the square on the hypotenuse is equal to the sum of the squares on the opposite sides. (The hypotenuse is the longest side; the other sides are commonly called legs.) If you know the hypotenuse and one leg you can find the other leg by simple algebra. Just subtract the square of the leg you know from the square of the hypotenuse and take the square root of this difference. Bingo! You have your answer.


What squared numbers the Pythagorean Theorem?

a2 + b2 = c2 a = a leg of the triangle, b = the other leg of the triangle, and c = the hypotenuse


A right triangle has leg lengths 5 and 12 the length of the triangles hypotenuse h is?

Using Pythagoras' theorem the length of the hypotenuse is 13 units