Construction - 17

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Given the perimeter and the base angles, to construct the triangle

In the perimeter = 7.5 cm, and

(1) Draw XY = 7.5 cm.

(2) At X make an angle of (). At Y, make an angle of 30^o (). Produce their arms to meet at A.

(3) Draw perpendicular bisectors of AX and AY to meet XY at B and C.

(4) Join AB and AC.

Then is the required triangle.