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To have an altitude of 8 cm it could have a base of 12 cm and two equal sides of 10 cm which would satisfy Pythagoras' theorem because an isosceles triangle is in fact two right angle triangles joined together.

Area of a triangle = 1/2*base*height

Area = 1/2*12*8 = 48 square cm

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Q: The altitude drawn to the base of an isosceles triangle is 8cm and the perimeter is 32cm Find the area of the triangle?
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