Question 103

In $$\triangle$$ABC, AB = c cm, AC = b cm and CB = a cm. If $$\angle$$A= 2$$\angle$$B,then which of the following is true?

Solution

Given that $$\triangle$$ABC, AB = c cm, AC = b cm and CB = a cm. If $$\angle$$A= 2$$\angle$$

then we check Option

draw the diagram from the given information is given below

by pythgorous theorem

$$ a^2 = b^2 + c^2 $$

$$\Rightarrow a^2 = b^2 +c\times c $$

$$\Rightarrow a^2 = b^2 + cb $$(c=b)

put the value we can obtain

$$ \Rightarrow a^2 = b^2 +c^2 $$

therefore option (C) Ans

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