Question

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if two sides of right angle triangle is consecutive even integers and their area is 24 cm. find hypotenuse of triangle​

Answer 1

Explanation:

a = x

b = x + 2

c = x + 4

Pythagorean theorem

a2 + b2 = c2

(x)2 + (x+2)2 = (x+4)2

x2 + x2 + 4x + 4 = x2 + 8x + 16

x2 - 4x - 12 = 0

(x + 2)(x-6) = 0

Our two answers for x would be -2 and +6 but we most throw out the negative answer (can't have negative length of a shape)

So 6 would be the length of the smallest side