# Construction of a Triangle of a given Perimeter and Base Angles

Given : Perimeter AB + BC + CA = x cm, âˆ  ABC = a and âˆ  ACB = b, of a triangle ABC.

Required: To construct the Î” ABC.

Steps of Construction:

• Draw a line segment PQ such that PQ = AB + BC + CA.
• Construct
• Bisect and and these bisectors meet at the point .
• Draw perpendicular bisector of which meets at .
• Draw perpendicular bisector of which meets at .
• Join and
• is the required triangle.