16Hit1600
Geometry and TrigonometryMediumSimilar right triangles: scaling a leg

Geometry and Trigonometry practice question

A right triangle has legs of length 6 and 8. A second, similar right triangle has a hypotenuse of length 30. What is the length of the shorter leg of the second triangle?

Answer: 18

The first triangle's hypotenuse is 10, so the scale factor is 30 ÷ 10 = 3. The shorter leg scales from 6 to 18.

Common wrong answers

If you answered 6
6 is the shorter leg of the first triangle.
If you answered 24
24 is the longer leg of the second triangle.
If you answered 22.5
22.5 comes from 6 × (30 ÷ 8), scaling by the wrong side.

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