Similar Figures

Geometry Level 1

The lengths of sides of a certain triangle are 6.9 , 9.2 6.9,9.2 and 11.5 11.5 . In a similar triangle, the shortest side is 63 63 , what is the length of the longest side?


The answer is 105.

A Former Brilliant Member by A Former Brilliant Member

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1 solution

Since the two triangles are similar, we can use ratio and proportion. Let x x be the length of the longest side, we have

x 11.5 = 63 6.9 \dfrac{x}{11.5}=\dfrac{63}{6.9}

cross-multiplying, we get

6.9 x = 724.5 6.9x=724.5

dividing both sides by 6.9 6.9 , we obtain

x = 105 x=105

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