Question

Construct a triangle whose perimeter is 6.4 cm, and angles at the base are 60° and 45° .

Answer 1

Steps of construction:
1. Draw a line segment XY of 6.4cm. 
2. Draw `∠`DXY = B = 60° and `∠`EYX =`∠`C = 45°
3. Draw the angle bisector of `∠`DXY and `∠`EYX which interest each other at A.
4. Draw the perpendicular bisector of AX and AY which interest XY at B and C respectively.
5. Join AB and AC
  ∴ Δ ABC is the required triangle.