Question

Construct a triangle ABC in which BC= 6cm, angle B = 45° and angle C = 75°. Construct a triangle ABC in which BC= 6cm, angle B = 45° and angle C = 75°.

Answer 1

Solution:-

First, we draw a rough sketch.

Construction:-

• Draw a line segment BC = 6 cm.
• At B, draw an angle of 50° and extend the ray.
• Intersect ray BX at A.

Additional Information:-

A triangle can be constructed, if any one of the following sets of measurements are given:-

• Three sides
• Two sides and included angle between these two sides
• Two angles and the side between them
• The hypotenuse of a right angled and one of the sides.