Respuesta :

wegnerkolmp2741o

Answer:

15

Step-by-step explanation:

To find the hypotenuse of a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2,  where a and b are the legs and c is the hypotenuse

We know that a=12 and b = 12

9^2 + 12^2 = c^2

81 + 144 = c^2

225 = c^2

Take the square root of each side

sqrt(225) = sqrt(c^2)

15 =c

Answer:

c = 15

The length of the hypotenuse is 15.

Step-by-step explanation:

In order to find the hypotenuse, we would need to use the Pythagorean theorem.

The formula for the pythagorean theorem is:

[tex]a^2+b^2 = c^2[/tex]

The numbers we have been given:

A = 9

B = 12

Input the numbers in our formula.

[tex]9^2 + 12^2 = c^2[/tex]

Solve.

9 to the power of 2 is 81

12 to the power of 2 is 144

Add.

144 + 81 = 225

Find the square root of C.

[tex]\sqrt{225} = 15[/tex]

Let's check our work.

[tex]9^2 + 12^2 = 15^2[/tex]

Answer:

The length of the hypotenuse is 15.

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