Question

The length of the hypotenuse is ​

Answer 1

Hello! The length of hypotenuse is 39

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Step-by-step 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.

$\large{ {36}^{2} + {15}^{2} = {c}^{2} } \\ \large{1296 + 225 = {c}^{2} } \\ \large{1521 = {c}^{2} } \\ \large{ \sqrt{1521} = c} \\ \large{39 = c}$

Hence, the missing hypotenuse is 39.