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In a right angled triangle ABC, angle B = 90°. If AB= 8, BC = 15,find the perimeter of ∆ ABC |
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Answer» ONG>Step-by-step explanation: answr search What would you like to ask? MATHS In a RIGHT triangle ABC, right angled at B, BC=15cm, and AB=8cm. A circle is inscribed in triangle ABC. The radius of the circle is : Share Study later ANSWER Using Pythagoras theorem in △ABC (AB) 2 +(BC) 2 =(AC) 2
(15) 2 +(8) 2 =(AC) 2
⇒(AC) 2 =225+64=289 ⇒AC=17cm Now inradius r= s Δ
where Δ is the area of triangle and s is SEMI perimeter. Δ= 2 1
×8×15=60 s= 2 8+15+17
= 2 40
=20 ⇒r= s Δ
= 20 60
=3cm |
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