Question

In a triangle ABC an altitude drawn from A on side BC concides with the perpendicular bisector of BC .If AB = 5 cm ,then find the length of AC

Answer 1

Answer:

Steps of construction:

1. BC=5cm is drawn and is constructed downwards.

2. BX is drawn perpendicular to BY.

3. Q is drawn perpendicular bisector if BC intersecting BX at O and cutting BC at E.

4. Taking O as a centre and OB as radius, a circle is drawn.

Taking E as centre and radius equal to 3.5cm, arc is drawn to cut the circle at A.

5. AC and AB are joined.

6. AD is drawn perpendicular to BC from A to cut BC at D.

7. By measuring we find that AD=3cm.

solution