Answer:
c = 15
The length of the hypotenuse is 15.
Explanation:
In order to find the hypotenuse, we would need to use the Pythagorean theorem.
The formula for the pythagorean theorem is:
![a^2+b^2 = c^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b56dnfgj79jzo1iy9xj0fr84dmx59vkghw.png)
The numbers we have been given:
A = 9
B = 12
Input the numbers in our formula.
![9^2 + 12^2 = c^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6pdic5xb5s017frjkz61o2l6qjxy2wkzfn.png)
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.
![√(225) = 15](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ibvdv42884gaa1h0o060b5n4zd7tew5ma9.png)
Let's check our work.
![9^2 + 12^2 = 15^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uwob6mafyzpd2bq0dw3lsmfeayim21bwhu.png)
Answer:
The length of the hypotenuse is 15.