If a right triangle has a side a=5 and b=12, what is c? If necessary, round to the nearest tenth.

Question

If a right triangle has a side a=5 and b=12, what is c?

If necessary, round to the nearest tenth.

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Solution

To find the length of the hypotenuse (c) in a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Here are the steps:

Square the lengths of the two sides: a² = 5² = 25 and b² = 12² = 144.
Add these two values together: 25 + 144 = 169.
Take the square root of the result to find c: √169 = 13.

So, the length of the hypotenuse (c) is 13.

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If a right triangle has a side a=5 and b=12, what is c? If necessary, round to the nearest tenth.

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