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the perpendicular side of a right angled triangle is 1 meter calculate its area and perimeter correct to a centimeter |
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Answer» Answer: REF.Image PERIMETER of RIGHT triangle = 72 a+B+c= 72 _____________ (1) its area = 216 2 1
ba=216 ba=432 ___________ (2) ∴c 2 =a 2 +b 2 (By pythagoras theorem ) (a+b+c) 2 =a 2 +b 2 +c 2 +2ab+2bc+2ac (72) 2 =c 2 +c 2 +2ab+2bc+2ac 5184=2c 2 +2ab+2bc+2ac 5184=2c 2 +2ab+2c(b+a) 5184=2c 2 +2ab+2c(72−c) 5184=2c 2 +2ab+144c−2c 2
5184=2ab+144c 5184=2×432+144c c= 144 9320
c=30 putting c in EQUATION (1) a+b+c=72 a+b=72-30 a+b=42. |
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