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CBSE Class 10 Answered

The area of a circle inscribed in an equilareal triangle is 48straight pi square units , then perimeter of triangle
Asked by sankalpsamiti | 07 Feb, 2016, 01:03: AM
answered-by-expert Expert Answer
begin mathsize 14px style L e t space a space b e space t h e space s i d e space o f space t h e space t r i a n g l e space a n d space h space b e space t h e space h e i g h t space o f space t h e space t r i a n g l e. L e space r space b e space t h e space r a d i u s space o f space t e h space c i r c l e. A r e a space o f space a space c i r c l e equals 48 straight pi space sq. space units rightwards double arrow πr squared equals 48 straight pi rightwards double arrow straight r squared equals 48 rightwards double arrow straight r equals 4 square root of 3 space units Now comma space straight h equals 3 straight r equals 3 cross times 4 square root of 3 equals 12 square root of 3 space units ANd comma space square root of straight a squared minus straight a squared over 4 end root equals 12 square root of 3 rightwards double arrow fraction numerator square root of 3 straight a over denominator 2 end fraction equals 12 square root of 3 rightwards double arrow straight a equals 24 space units Thus comma space perimeter space of space triangle equals 3 cross times 24 equals 72 space units end style
Answered by Rashmi Khot | 08 Feb, 2016, 12:16: PM
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