Question

What is the length of the hypotenuse of the triangle when xequals8​?
3 x6 x plus 6



A right triangle has a horizontal leg labeled 3 x and a vertical leg labeled 6 x plus 6.
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Part 1
The length of the hypotenuse is about
  
enter your response here.
​(Round to the nearest tenth as​ needed.)
The length of the hypotenuse is about(Round to the nearest tenth as needed.)
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Answer 1

First plug in x = 8: the legs are 3x = 24 and 6x + 6 = 54.

By the Pythagorean theorem,
c = sqrt(24^2 + 54^2) = sqrt(576 + 2916) = sqrt(3492) ≈ 59.1.

So the hypotenuse is about 59.1 (to the nearest tenth).