Question

Question 1. If ∆ABC ~ ∆PQR, perimeter of ∆ABC = 32 cm, perimeter of ∆PQR = 48 cm and PR = 6 cm, then find the length of AC.

Answer 1

Given:

Triangle ABC ∼ triangle PQR,  perimeter of triangle ABC = 32cm, perimeter of triangle PQR = 48cm and PR = 6cm 

since the y are similar, 

AB/PQ = BC/QR = AC/PR 

AC/PR = perimeter of triangle ABC/perimeter of triangle PQR 

AC/6 = 32/48 

AC*48 = 6*32 

therefore AC = 4cm

Answer 2

Step-by-step explanation:

$\huge\underline\mathfrak{\green{Answer :-} }\:$..

Hey !!!

∆ABC = 32cm

∆PQR = 48cm

PR= 6cm

AC = ?

As you know that The ratio of the perimeter of two similar triangle is same as the ratio of corresponding sides

so, According to this theorem

perimeter of ∆ABC /perimeter. of triangle ∆PQR = AC/PR

=> 32/48 = AC/6

=> 32×6/48 = AC

=> 32/8 = 4Cm Answer

AC = 4cm

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