Question

The length of the hypotenuse is
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Answer 1

Hello! The length of hypotenuse is 39

Make sure to read an explanation so you will be able to understand your problem clearly.

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Explanation:

We can find a missing hypotenuse by using Pythagorean Theorem. Pythagorean Theorem can help finding length of a right-angle triangle. The formula is in the box below:

`\large \boxed{ {a}^(2) + {b}^(2) = {c}^(2) }`

a-term and b-term can be opposite or adjacent. But remember that c-term must be hypotenuse only.

Since we want to find a missing hypotenuse, we can substitute these numbers in the formula.

`\large{ {36}^(2) + {15}^(2) = {c}^(2) } \\ \large{1296 + 225 = {c}^(2) } \\ \large{1521 = {c}^(2) } \\ \large{ √(1521) = c} \\ \large{39 = c}`

Hence, the missing hypotenuse is 39.