Math, asked by aditim5784, 1 year ago

Abc is a right angled triangle right angled at



a. A circle is inscribed in it. The lengths of two sides containing the right angle are 6 cm and 8cm

Answers

Answered by sweetandsimple64
5
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Consider ABC be the right angled triangle such that ∠A = 90° and AB = 6cm AC = 8cm

And O be the centre and r be the radius of the incircle.

AB, BC and CA are tangents to the circle at P, N and M.

∴ OP = ON = OM =  r  (radius of the circle)Area of ΔABC = ½ × 6×8=48 cm2

By Pythagoras theorem,

 BC2  = AC2  + AB2

 ⇒ BC2  = 62 +82

BC2  = 100

BC = 10 cm

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