Question

4. Construct a triangle ABC, in which :
(1) BC = 4.8 cm, B = 45° and AB - AC = 2.4 cm
(ii) BC = 4.8 cm, B = 45° and AC - AB = 2.4 cm
(iii) AB = 5.3 cm, A = 60° and AC - BC = 2 cm
(iv) AB = 5.3 cm, A = 60° and BC - AC = 2 cm​

Answer 1

ANSWER

1.Draw base BC of length 8cm

2.Now, let's draw ∠B=45

∘

.Let the ray be BX

3.Open the compass to length AB−AC=3.5cm.

Since AB−AC=3.5cm is positive.

So, BD will be above line BC

From point B as center, cut an arc on ray BX.

Let the arc intersect BX at D

4.Join CD

5.Now, we will draw perpendicular bisector of CD

6.Mark point A where perpendicular bisector intersects BD

7.Join AC

Result:∴△ABC is the required triangle.