Question

Construct a triangle ABC in which BC = 13cm, CA = 5cm and AB = 12cm. Draw its incircle and measure its radius. Pls steps with diagram

Answer 1

In △ABC,

(AB)

2

+(BC)

2

=(5)

2

+(12)

2

=25+144=169=13

2

=(AC)

2

⟹AC=13

The converse of the Pythagoras theorem states that if the square of the longer side of a triangle is equivalent to the sum of its two shorter sides, then it must be a right triangle.

∴ △ABC is right angle triangle, in which ∠B=90

∘