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Q: How do you find the hypotenuse with only a leg and a degree?

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

To solve a 30-60-90 triangle, you need to know the length of one side. The hypotenuse is twice as long as the shortest leg (the side opposite the 30 angle) The longer leg (opposite the 60 angle) is the length of the shorter leg times the square root of 3. So in summary: If you know the hypotenuse, divide it by 2 to find the shorter leg, and multiply that times the square root of 3 to find the longer leg. If you know the longer leg, divide it by the square root of 3 to find the shorter leg, then multiply that by 2 to find the hypotenuse. If you know the shorter leg, multiply it by 2 to find the hypotenuse. Multiply the shorter leg length by the square root of 3 to find the longer leg.

The hypotenuse is the square root of (82 +152) = 17.

If two right triangles have (hypotenuse and a leg of one) = (hypotenuse and the corresponding leg of the other) then the triangles are congruent.

"Hypotenuse-leg" is not necessarily the right-triangle version of "side-angle-side". It's the right-triangle version of "side-side-side", because if you know that it's a right triangle, and you know the hypotenuse and a leg, then you can calculate the length of the other leg. If you want to work with "side-angle-side", and you know the hypotenuse and a leg, then you can find the angle between them, because it's the angle whose cosine is (the known leg) divided by (the hypotenuse), and you can look it up.

Related questions

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

To solve a 30-60-90 triangle, you need to know the length of one side. The hypotenuse is twice as long as the shortest leg (the side opposite the 30 angle) The longer leg (opposite the 60 angle) is the length of the shorter leg times the square root of 3. So in summary: If you know the hypotenuse, divide it by 2 to find the shorter leg, and multiply that times the square root of 3 to find the longer leg. If you know the longer leg, divide it by the square root of 3 to find the shorter leg, then multiply that by 2 to find the hypotenuse. If you know the shorter leg, multiply it by 2 to find the hypotenuse. Multiply the shorter leg length by the square root of 3 to find the longer leg.

The hypotenuse is the square root of (82 +152) = 17.

In general call the shortest side a and remember this is always the side opposite the 30 degree angle. Then the other leg/side has length a(square root 3) and the hypotenuse has length 2a.So in the case of a=7, the hypotenuse has length 14.

If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

Short leg= hypotenuse/2 hypotenuse= short leg*2 long leg= short leg * the square root of 3

There are an infinite number of different sets of lengths that will do it. You have to start by choosing the length of one side, and when you do that, here's how to find the others: Shorter leg = (longer leg) x 0.364 Shorter leg = (hypotenuse) x 0.342 Longer leg = (shorter leg) x 2.747 Longer leg = (hypotenuse) x 0.94 Hypotenuse = (shorter leg) / 0.342 Hypotenuse = (longer leg) / 0.94

If two right triangles have (hypotenuse and a leg of one) = (hypotenuse and the corresponding leg of the other) then the triangles are congruent.

The short side will be opposite the 30 degree angle. The longer leg is 10*sqrt(3) = 17.32 and the hypotenuse is 20.

If two right triangles have the hypotenuse and leg of one equal respectively to the hypotenuse and leg of the other, then the triangles are congruent.

The hypotenuse leg of a right angle triangle is its longest side.

If it's a right angle triangle then the other leg will also be 13 units in length and use Pythagoras' theorem if you need to find the length of the hypotenuse.

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