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Mathematics

Grade9

Easy

Question

Find the missing length for similar triangles.

54
68
58
64

hint Hint:

If two triangles are similar, then the ratio of corresponding sides is equal to the ratio of the angle bisectors, altitudes, and medians of the two triangles. find UT using the above statment.

The correct answer is: 54

If two triangles are similar, then the ratio of corresponding sides is equal to the ratio of the angle bisectors, altitudes, and medians of the two triangles.
$fraction numerator U V over denominator K L end fraction equals fraction numerator U T over denominator L M end fraction$ (Corresponding sides are proportional.)
$fraction numerator 60 over denominator 130 end fraction equals fraction numerator x over denominator 117 end fraction$
$130 x equals 117 cross times 60$
$x equals 54$
Therefore, value of side UT is 54.

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