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Incenter and Construction of Incircle in a Triangle

Construct tri...

Question

Construct triangle ABC in which AB = 3 cm, B = 3.5 cm and CA = 5 cm. Construct ΔDEF similar to ΔABC, having 10 cm as its longest side.

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Solution

The side lengths of triangle ABC are AB = 3 cm, BC = 3.5 cm and CA = 5 cm.

We need to construct triangle DEF such that its longest side is 10 cm.

ΔABC and ΔDEF are similar.

Now, ΔDEF can be constructed as shown below.

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