Question

Construct a ∆ABC such that AB = 5.5 cm, ∠C = 25° and the altitude from C to AB is 4 cm

Answer 1

Steps of construction:

1. Draw a line segment AB = 5.5 cm.

2. At A draw AE such that ∠BAE = 25°.

3. At A draw AF such that ∠EAF = 90°.

4. Draw the perpendicular bisector of AB which intersects AF at O and AB at G.

5. With O as centre and OB as radius draw a circle.

6. XY intersects AB at G. On XY, from G mark an arc at M. Such that GM = 4 cm.

7. Through M draw a line parallel to AB intersect the circle at C and D.

8. Join AC and BC.

9. ∆ABC is the required triangle.