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 <em><u>right</u></em> 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.\\\\\\\sqrt{225} = \sqrt{x^2} \\\\\\15 = x = HP](https://tex.z-dn.net/?f=9%5E%7B2%7D%2B%2012%5E%7B2%7D%20%3D%20x%5E%7B2%7D%20%5C%5C%5C%5C%5C%5CSquare.the.9.and.the.12.%5C%5C%5C%5C%5C%5C81%20%2B%20144%20%3D%20x%5E2%5C%5C%5C%5C%5C%5CAdd.%5C%5C%5C%5C%5C%5C225%20%3D%20x%5E2%5C%5C%5C%5C%5C%5CSquare.both.sides.%5C%5C%5C%5C%5C%5C%5Csqrt%7B225%7D%20%20%3D%20%5Csqrt%7Bx%5E2%7D%20%5C%5C%5C%5C%5C%5C15%20%3D%20x%20%3D%20HP)
<u>So, we get our answer to be 15.</u>
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<u>The length of HP is 15.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>