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What is the length of the hypotenuse of a right angle triangle when its area is 54 square cm and its perimeter is 36 cm showing how you achieved your answer?
Wiki User
∙ 12y ago
according to the formulae :
area of triangle = (1/2) x base of triangle x height
54=(1/2)xBxH
B x H = 108
now we have to factorize it..
factors can be.. (12,9),(27,4)(18,6)(36,3)
now its given perimeter=36
we have to check two condition for the tringle to be right angle triangle
sum of two sides > third side
sum of the square of the two sides of triangle(shorter sides)= square of the third side.
only one factor (12,9) satisfies both the conditions..
so the third side comes out to be 36-(12+9)=15
so the sides are...12,9,15.
that's your answer..
Wiki User
∙ 12y ago
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