Answer and Step-by-step explanation:
To find the length of HP, we must use the Pythagorean Theorem.
This theorem helps us solve for the sides of any right triangle.
The equation for the Pythagorean Theorem is:
, in which a and b are the legs, while c is the hypotenuse.
Let's plug in our values into the equation to find the length of HP.
We will use the variable x to represent HP.
![9^(2)+ 12^(2) = x^(2) \\\\\\Square.the.9.and.the.12.\\\\\\81 + 144 = x^2\\\\\\Add.\\\\\\225 = x^2\\\\\\Square.both.sides.\\\\\\√(225) = √(x^2) \\\\\\15 = x = HP](https://img.qammunity.org/2022/formulas/mathematics/high-school/yo9xmarxa2rfiyufo8wic9lumjosb9znlj.png)
So, we get our answer to be 15.
The length of HP is 15.
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