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What are the legs of a right triangle if the hypotenuse is 10?

What are the legs of a right triangle if the hypotenuse is 10?

In a right triangle with hypotenuse 10, the altitude perpendicular to the hypotenuse can be 6. Why some people say it’s true: One of the legs of a right triangle can have a length of 6 (from the Pythagorean triple 6-8-10) and a leg can be the altitude of the triangle.

How do you find the hypotenuse with two leg lengths?

  1. If you are given the length of the shortest leg (opposite the 30-degree angle,) simply multiply the leg length by 2 to find the length of the hypotenuse.
  2. If you are given the length of the longer leg (opposite the 60-degree angle,) multiply that length by 2/Sqrt(3) to find the length of the hypotenuse.
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How do you find the hypotenuse of a right triangle trigonometry?

Right Triangles and the Pythagorean Theorem

  1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
  2. The side opposite the right angle is called the hypotenuse (side c in the figure).

What is the length of the hypotenuse of a right triangle?

Originally Answered: The hypotenuse of a right triangle is 10 inches. The leg the of the two legs are given by two consecutive even integers. What is the length of these two legs? The side lengths are 6 and 8. One easy way is to see the 3–4–5 triangle scaled up by two.

What does hypotenuse mean in math?

Hypotenuse Meaning Hypotenuse means, the longest side of a right-angled triangle compared to the length of the base and perpendicular. The hypotenuse side is opposite to the right angle, which is the biggest angle of all the three angles in a right triangle.

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How do you find the hypotenuse of an isosceles right triangle?

How do I find the hypotenuse of isosceles right triangle? 1 Find the length of one of the non-hypotenuse sides. 2 Square the length of the side. 3 Double the result of the previous step. 4 Square root the result of step 3. This is the length of the hypotenuse.

How do you find the altitude of the hypotenuse?

Draw the altitude of the hypotenuse on the triangle. The two new triangles you have created are similar to each other and the main triangle. Divide the length of the shortest side of the main triangle by the hypotenuse of the main triangle. Multiply the result by the length of the remaining side to get the length of the altitude.