Question

to construct a triangle , given its perimeter and its two base angles

Answer 1

to construct a triangle we need
two sides one angle
two angles one side or
three sides .

Answer 2

a. Draw a line pq equal to the perimeter of the triangle.
b. Draw one base angle to the point point p and another to the q.
C. Draw the bisector of these angles and let that they meet at point point a.
D. Draw the perpendicular bisector ap and aq.
E. let that they intersect line pq at b and c.
F. Now join ab and ac.
now abc is the required triangle.

I hope it will help you.