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Question

The area of an isosceles triangle is 12 cm sq . If one of of its equal side is 5 cm,then its base is equal to?

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Solution

Both sides are 5.
Let
The base is x
Therefore
The area is (1/2)x h=12
xh=24
The height is one leg of a right triangle, half the base another leg, and the hypotenuse is 5.
This has to be a 3-4-5 right triangle.
The base is 3, but that is the base of half of the isosceles triangle. The whole base is 6.
The height is 4 in any case.
The area is (1/2)*24=12 cm^2
The height is 4 cm, the base 6cm

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