Using the figure given below, prove that AR = 1/2 (perimeter of tr

1.	Using the figure given below, prove that AR = 1/2 (perimeter of triangle ABC)
Answer» Perimeter of ∆ABC= AB BC CA = AB+[ BP+CP]+CA = AB+BQ+CR+CA (Tangents from an external point are equal) = AQ+AR = AR+AR (Tangents from an external point are equal) =2AR

Using the figure given below, prove that AR = 1/2 (perimeter of triangle ABC)

Answer»

Perimeter of ∆ABC= AB BC CA

= AB+[ BP+CP]+CA

= AB+BQ+CR+CA (Tangents from an external point are equal)

= AQ+AR

= AR+AR (Tangents from an external point are equal)

=2AR

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Using the figure given below, prove that AR = 1/2 (perimeter of triangle ABC)

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