Question

∆ ACB~∆ APQ if BC =8cm ,PQ=4cm,BA=6.5cm, AP=2.8cm . find CAand AQ. explain full
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Answer 1

Answer:

CA = 5.6 cm, AQ = 3.25 cm

Step-by-step explanation:

In similar triangles,

AC/AP = CB/PQ = AB/AQ

therefore, AC/AP = CB/PQ

that implies, ACxPQ = CBxAP

AC=CBxAP÷PQ

So, AC = CA = 8x2.8÷4

So, CA = 5.6 cm

Similarly, AQ = ABxPQ÷CB

So, AQ = 6.5x4÷8

AQ = 3.25