# Two corners of an isosceles triangle are at #(5 ,2 )# and #(2 ,1 )#. If the triangle's area is #7 #, what are the lengths of the triangle's sides?

Lengths of three sides of triangle are

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To find the lengths of the sides of the isosceles triangle, first, calculate the distance between the given points using the distance formula. Then, use the formula for the area of a triangle to determine the height. Finally, use the formula for the area of a triangle (area = 0.5 * base * height) to find the lengths of the sides.

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