Question

Construct a triangle ABC in which BC is 3.5 cm, Angle B is ${75}^{\circ }$ and AB+AC=6.5cm

Answer 1

Steps- -Draw line segment BC of length 3.5 cm using a ruler. From B using a protractor, draw ray BX which makes an angle of ${75}^{\circ }$ with BC.

-Cut a line segment BD equal to AB+AC=6.5 cm from ray BX.

-Join CD. Measure the value of angle BDC using a protractor.

-Using protractor draw ray CY at C which makes the same angle with CD as angle ADC.

-Let the ray CY meet BD at A. Triangle ABC is the required triangle.