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If the area of a right triangle is 15, what is its perimeter?
Cant be determined
Let the two sides of the right angled triangle have lengths a & b. The third side has length =## (a^2 +b^2)^1/2 ##////// use Pythagoras Theorem
Perimeter =## a +b + (a^2 +b^2)^1/2##
Area = ##1/2 ab = 15 ##
ab =## 30 ##
a = ##30/b##
Now P = ##a +b + (a^2 +b^2)^1/2##
= ##30/b + b + ( 900/b^2 + b^2)^1/2##
If we know the value of b or a the perimeter can be determined. So the answer is E