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7. Find the length of HP.
12
P
9
H


7 Find The Length Of HP 12 P 9 H class=

Sagot :

Step-by-step explanation:

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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:

[tex]a^{2}+ b^{2} = c^{2}[/tex], 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.

[tex]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[/tex]

So, we get our answer to be 15.

The length of HP is 15.

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