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Mathematics

Grade9

Easy

Question

Find the value of x in the following similar polygons.

8
12
16
20

hint Hint:

We know when two polygons are similar their corresponding sides will be proportional. So. by equating the ratios we will get the value of x.

The correct answer is: 8

Corresponding sides of similar polygons are proportional.
$fraction numerator A B over denominator Q R end fraction equals fraction numerator 12 over denominator 6 end fraction equals 2$
$fraction numerator A D over denominator Q T end fraction equals fraction numerator 10 over denominator 5 end fraction equals 2$
$fraction numerator D C over denominator T S end fraction equals fraction numerator 16 over denominator 8 end fraction equals 2$
$fraction numerator B C over denominator R S end fraction equals fraction numerator x over denominator 4 end fraction equals 2$
So, $x equals 8$

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