A rhombus pqrs is inscribed in a triangle abc, ab=12cm, bc=6 cm, find the sides of rhombus
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Answer:
4 cm
Step-by-step explanation
In triangle ABC, BC is parallel to PQ.
Let side of rhombus be a cm.
Given AB = 12 cm. So AP = 12 – a
BC = 6 cm
We have AP / AB = PQ / BC
12 – a / 12 = a / 6
12 a = 72 – 6 a
18 a = 72
a = 72 / 18
a = 4 cm
Since the sides are equal in a rhombus t he side is 4 cm.
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