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Since an isosceles triangle can be represented by two right triangles back to back, you can utilize the pythagorean theorum to solve this example. Specifically:

18cm/2 = 9cm = 1 leg of right triangle (A)

24cm = hypotenuse of right triangle (C)

A squared + B squared = C squared

Altitude = B = square root of (C squared - A squared) = approximately 19.875

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