Respuesta :
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.