If $△ P Q R$ and $△ S T U$ are similar, find value of $x .$

24

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12

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16

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32

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Solution

The correct option is D $32$
Since, both the triangles are similar, the sides of the triangles are proportional:
$\frac{P R}{S U} = \frac{P Q}{S T} = \frac{R Q}{U T}$

$\frac{10}{x} = \frac{5}{20}$

$x = \frac{8 \times 20}{5} = 32$

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Similar questions

The perimeters of two similar triangles ABC and PQR are 32 cm and 24 cm respectively. If PQ = 12 cm, find AB.

△ P Q R ≅ △ S T U .

x : 32

4 : 16

\frac{(16)^{5}}{(12)^{5}} \times \frac{(24)^{5}}{(32)^{5}}

24 \div 12 + 6

16 \div 32 - 5

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