In Fig., Δ ABC ∼ Δ APQ. If BC = 8 cm, PQ = 4 cm, BA = 6.5 cm and AP = 2.8 cm, find CA and AQ

Question

In Fig., Δ   ABC ∼ Δ   APQ. If BC = 8 cm, PQ = 4 cm, BA = 6.5 cm and AP = 2.8 cm, find CA and AQ

Philoid · Accepted Answer

Given: BC = 8 cm

PQ = 4 cm

BA = 6.5 cm

AP = 2.8 cm

To find: The length of CA and AQ.

Theorem Used:

If two triangles are similar, then the ratio of their corresponding sides are equal.

Explanation:

Given ΔACB ~ ΔAPQ

Then by the theorem stated,

Or,

AC=5.6cm

AQ = 3.25cm