Question

Find X and y

12, 16

Answer 1

• x = 6√2
• y = 6√6

Explanation:

The triangles are all similar, so corresponding sides are proportional.

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x

long side/short side = x/6 = 12/x

x² = 72 . . . . . . . multiply by 6x

x = 6√2 . . . . . . take the square root

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y

hypotenuse/long side = y/12 = (12+6)/y

y² = 216 . . . . . multiply by 12y

y = 6√6 . . . . . take the square root