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02-02-2022
Mathematics

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If Triangle PQR ~ Triangle VST with a scale factor of 2:5, find the value of x.

If Triangle PQR Triangle VST with a scale factor of 25 find the value of x class=

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mhanifa mhanifa

15-02-2022

Answer:

x = 11.2 units

Step-by-step explanation:

QR is the corresponding side to ST since ΔPQR ~ ΔVST, considering the order of vertices.

Since the scale factor is 2/5, the ratio of corresponding sides is:

QR/TS = 2/5
x/28 = 2/5
x = 28*2/5
x = 56/5
x = 11.2

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