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frozen [14]
4 years ago
15

Find the value of each variable for the right triangles. make sure all answers are in reduced radical form. show your work.

Mathematics
1 answer:
Sveta_85 [38]4 years ago
8 0
Hi there! The answer is 3 multiplied by the square root of 13.

Using the following theorem (Pythagorean Theorem), with a and b representing rectangular sides and c representing the hypotenuse, and the numbers from the picture, we get the following:

{a}^{2} + {b}^{2} = c {}^{2}

Fill in the numbers
{6}^{2} + { 9}^{2} = c {}^{2}

Work out the powers
36 + 81 = {c}^{2}

Add up
{c}^{2} = 117

Take the square root of both sides.
c = \sqrt{117} = 3 \sqrt{13}
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