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Home » In fig. 4.136, ΔACB ∼ ΔAPQ. If , , and , find CA and AQ.
In fig. 4.136, ΔACB ∼ ΔAPQ. If BC = 8 cm, PQ = 4 cm, BA = 6.5 cm and AP = 2.8 cm, find CA and AQ.
CBSE | Class 10 | Exercise 4.5 | Maths | RD Sharma | Triangles
In fig. 4.136, ΔACB ∼ ΔAPQ. If BC = 8 cm, PQ = 4 cm, BA = 6.5 cm and AP = 2.8 cm, find CA and AQ.

Solution:

Given,

ΔACB ∼ ΔAPQ

BC = 8 cm, PQ = 4 cm, BA = 6.5 cm and AP = 2.8 cm

To find: CA and AQ

ΔACB ∼ ΔAPQ [given]

BA/ AQ = CA/ AP = BC/ PQ

(Corresponding Parts of Similar Triangles)

6.5/ AQ= 8/ 4

AQ = (6.5 x 4)/ 8

AQ = 3.25 cm

Similarly,

CA/ AP = BC/ PQ

CA/ 2.8 = 8/ 4

CA = 2.8 x 2

CA = 5.6 cm

CA = 5.6 cm and AQ = 3.25 cm

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