Respuesta :

Hello!

To find the hypotenuse of a right triangle, we use the formula: a² + b² = c². In this formula, which is also known as the Pythagorean Theorem, a and b are the legs of the right triangle, and c is the hypotenuse, which is the value we are trying to find.

The value of leg a is 9 centimeters, and value of leg b is 12 centimeters. With those values, we can substitute it into our equation and solve.

(9)² + (12)² = c² (simplify the exponent)

81 + 144 = c² (simplify)

225 = c² (take the square root of both sides)

c = 15

Therefore, the length of the hypotenuse is 15 centimeters.

taniaorozco
to find this out, you use the Pythagorean theorem which is;

a^2 + b^2 = c^2

where a & b are the legs and c is the hypotenuse. now simply plug them in their rightful place and solve.

9^2 + 12^2 = c^2

81 + 144 = c^2

225 = c^2

15 = c

hope this helped, blessings :)

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