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AFGH is similar to APQR.G8 cm10 cm5 cmPFR14 cmH Н*not drawn to scaleWhat is the length of PR?A. 3 cmB. 4 cmC. 7 cmD. 9 cm

AFGH Is Similar To APQRG8 Cm10 Cm5 CmPFR14 CmH Нnot Drawn To ScaleWhat Is The Length Of PRA 3 CmB 4 CmC 7 CmD 9 Cm class=

Sagot :

C. PR = 7 cm

1) Similarity of Triangles

When two triangles are similar we can state a proportionality, between their corresponding sides.

Hence, we write for PR

[tex]\frac{10}{5}=\frac{14}{x}[/tex]

Then we can cross multiply

10x = 14 x 5

10x =70

x= 7

PR = 7 cm

Note that the PQR triangle is twice smaller than the bigger one

So

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