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Question

ABC is an isosceles triangle right angled at C with AC = 4 cm. Find the length of AB.

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Solution




∆ABC is an isosceles triangle right angled at C.

∴ BC = AC (In an isosceles triangle, two sides are equal)

⇒ BC = 4 cm (AC = 4 cm)

In right ∆ABC,

AC2+BC2=AB2 Pythagoras theoremAB2=42+42AB2=42×2AB=42 cm

Thus, the length of AB is 42 cm.

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