24khalifayara 24khalifayara
  • 10-11-2021
  • Mathematics
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Triangle PQR is similar to triangle STU. Find the measure of side TU. Figures are not drawn to scale.

Triangle PQR is similar to triangle STU Find the measure of side TU Figures are not drawn to scale class=

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reinhard10158
reinhard10158 reinhard10158
  • 10-11-2021

Step-by-step explanation:

when 2 triangles are similar, it means that both have the same angles. and that then all the corresponding side lengths relate to each other by the same multiplication factor.

PQ and ST are corresponding sides.

the length of ST (4) is the length of PQ (16) multiplied by 1/4.

16 × 1/4 = 4.

the same factor (1/4) also applies to the other sides.

and therefore,

TU = QR × 1/4 = 19.2 × 1/4 = 19.2/4 = 4.8

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