Construct a ΔABC in which ∠ B = 60°, ∠ C = 45° and the length of perpendicular from vertex A to base BC as 5 cm.

Question

Philoid · Accepted Answer

Steps of Construction

1. Draw a line segment XY.

2. Take any point P on XY and draw PQ⊥XY.

3. Along PQ, set off PA= 5 cm

4. Through A, draw LM∥XY.

5. Construct ∠LAB=60° and ∠MAC=45° meeting XY at B and C respectively.

Therefore, ΔABC is the required triangle.