Question

construct a triangle ABC in which BC=7 cm angle B = 75 degree and AB+AC=13cm

Answer 1

Draw a line of 7cm and name it as BC.
Now, with B as centre and with any radius draw an angle of 75 degree.
Now,measure 13 cm from the ruler with the help of compass and cut an arc on a line of an angle 75 degree. Name the arc as D.
Join Point D with point C. Draw perpendicular bisector of line DC. Join the perpendicular bisector.
The point at which the perpendicular bisector cut the line BD. Name that point as A. Join A to C.

Required triangle ABC is ready.

Measure AB and AC with ruler and add them.

Hope it helps.....