If triangle cde is similar to triangle wxy with a scale factor of 4:3, find the perimeter of triangle wxy. cd=13,de=29,ce=22

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15-03-2018
Mathematics

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If triangle cde is similar to triangle wxy with a scale factor of 4:3, find the perimeter of triangle wxy. cd=13,de=29,ce=22

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Аноним Аноним · Answer 1 · 2018-03-15T12:35:44+01:00

ΔCDE : ΔWXY
4 : 3

[tex] \frac{CD}{WX}= \frac{4}{3}[/tex]
[tex] \frac{13}{WX}= \frac{4}{3}[/tex]
4WX = 3 x 13
4WX = 39
WX = 9.75

[tex] \frac{DE}{WY}= \frac{4}{3}[/tex]
[tex] \frac{29}{XY}= \frac{4}{3}[/tex]
4XY = 3 x 29
4XY = 87
XY = 21.75

[tex] \frac{CE}{WY}= \frac{4}{3}[/tex]
[tex] \frac{22}{WY}= \frac{4}{3}[/tex]
4WY = 3 x 22
4WY = 66
WY = 16.5

Perimeter = 9.75 + 21.75 + 16.5
Perimeter = 48 units