Question

Triangle ABC is similar to triangle PQR. AC is 12.4cm, AB is 5.2cm and PR is 21.7cm.
Find the length of PQ.

Answer 1

Answer:

As we can see from the above figure that AB = 5.2 cm , CA = 12.4 cm and RP = 21.7 cm. So, the length of side PQ of the triangle PQR is 9.1 cm.

Answer 2

Given,

• ∆ABC similar to ∆PQR
• AC = 12.4cm , AB = 5.2cm , PR = 21.7cm

Now,

Since , ∆ABC similar to∆PQR

So,

By Thales Theorem, we get

AC/PR = AB/PQ = BC/QR

i.e

AC/PR = AB/PQ ........(1)

Now,

Put given values of AB , AC & PR in ...(1)

So,

→ 12.4cm/21.7cm = 5.2cm/PQ

→ PQ = (5.2cm × 21.7cm) / 12.4cm

→ PQ = 112.84cm²/12.4cm

→ PQ = 9.1cm

i.e. PQ = 9.1 cm

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