Question

in triangle abc ab5cm, bc7cm, ac9ck. if triangle abc simultaneously triangle pqr& perimeter of pqr 63cm then find out pq??? ​

Answer 1

Answer:

Given, △ABC∼△PQR, as corresponding sides of similar triangles are proportional,

∴

PQ

AB

=

QR

BC

=

RP

CA

=

k

1

(let)

Also, AB=5,BC=6,AC=7 So, PQ=5k,QR=6k,RP=7k

Perimeter of △PQR=PQ+QR+RP

⇒360=5k+6k+7k⇒360=18k⇒k=20

Thus, PQ=5×20=100,QR=6×20=120,RP=7×20=140

Step-by-step explanation:

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Answer 2

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Given :-

A triangle ️ ABC in which AB = 5 cm, BC = 7 cm and AC = 9 cm. Triangle ️ ABC is similar to triangle ️ PQR and Perimeter of Triangle ️ PQR = 63 cm.

To find :

Length of PQ.

Solution :-

In triangle ️ ABC

AB = 5 cm

BC = 7 cn

CA = 9 cm

So Perimeter of Triangle ️ ABC = 5 + 7 + 9 = 21

As Triangle ️ ABC is similar to triangle ️ PQR

So, ratio of Perimeter of ️ ABC & ️ PQR is equal to ratio of their corresponding sides.

so,

Perimeter of Triangle ️ ABC : Perimeter of Triangle ️ PQR = AB : PQ

21 : 63 = 5 : PQ

=> PQ = 15 cm.