# Two corners of an isosceles triangle are at #(2 ,1 )# and #(8 ,5 )#. If the triangle's area is #4 #, what are the lengths of the triangle's sides?

Measure of the triangle's sides

Length of the base (b) is the distance between the given two points (2,1) , (8,5).

Using distance formula,

Area of triangle

Measure of the triangle's sides

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The lengths of the triangle's sides are approximately 5.74 units, 5.74 units, and 4.81 units.

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