(D)
Condition (a) AC*BC= 12. AC^2+BC^2 = 25. Hence, (A+B)^2 = 25+2*12= 49. A+B = 7. A+B+C= Perimeter= 12.
Condition (b) only pythogoran triplet with 5 as hypotenuse is 3,4 & 5 which are integers.
However, I don't think condition (b) is even required to find out the perimeter due to the above reasoning, but there is no such option from (A) to (E).
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Condition (a) AC*BC= 12. AC^2+BC^2 = 25. Hence, (A+B)^2 = 25+2*12= 49. A+B = 7. A+B+C= Perimeter= 12.
Condition (b) only pythogoran triplet with 5 as hypotenuse is 3,4 & 5 which are integers.
However, I don't think condition (b) is even required to find out the perimeter due to the above reasoning, but there is no such option from (A) to (E).
Posted from my mobile device
