Mathematics
dilmer96
12

Find the value of x. A: 2 square root of 6 B: 2 square root of 42 C: 2 square root of 7 D: square root of 14

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(1) Answers
kylaeberhardt92

If we call the leg of the small triangle y, and the leg perpendicular to x z, we can apply Pythagoras 3 times: (1) 4 + y^2 = x^2 (2) x^2 + z^2 = 196 => z^2 = 196-x^2 (3) y^2 + 144 = z^2 => y^2 = z^2 - 144 Now fill in (3) in (1): 4 + z^2 - 144 = x^2 and then (2) in (1): 196-x^2-140 = x^2 => 2x^2 = 56 => x = √28 = 2√7 Answer C!

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