Question

Solve for the missing variable. Round to the nearest tenth.

Answer 1

• x = 4
• y ≈ 10.8

Explanation:

In this geometry, the triangles are similar. That means corresponding sides are proportional:

short side/long side = x/10 = 10/25

x = 100/25 = 4 . . . . multiply by 10

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hypotenuse/short side = y/x = (x+25)/y

y² = 4(29) = 116 . . . . . use 4 for x; cross multiply

y = √116 ≈ 10.8