The angle at the apex opposite to the base of an isosceles triangle is 30 degrees.

The angle at the apex opposite to the base of an isosceles triangle is 30 degrees. The area of the triangle is 100. Find the side.

Since the triangle is isosceles, its sides are equal.

Let the side of the triangle be X cm.

Then the area of the triangle will be: S = X * X * Sin30.

100 = X2 * 1/2.

X2 = 200.

X = 10 * √2 cm.

Answer: The length of the side is 10 * √2 cm.




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