Question

Construct a triangle ABC , with base AB= 5cm, ∠ A = 300

and AC- BC = 2.5 cm​

Answer 1

Explanation:

Step of Construction:

Construct AB=5 cm

Construct ∠BAX=30

o

From AX, cut the line segment AD which is equal to AC−BC=2.5 cm

Join the point BD

Construct a perpendicular bisector of BD which meets AX at the point C

In order to obtain the required triangle ABC join BC

Justification:

We know that C lies on BD which is the perpendicular bisector

So we get

CD=BC

We know that AD=2.5 cm

It can be written as

AC−CD=2.5 cm

So we get

AC−BC=2.5 cm

Therefore, △ABC is the required triangle

hope it will help you