Draw a triangle ABC with side BC = 6 cm, AB = 5 cm and ∠ ABC = 60°. Then construct a triangle whose sides are of the corresponding sides of the triangle ABC.

Question

Draw a triangle ABC with side BC = 6 cm, AB = 5 cm and &#x2220; ABC = 60&#xB0;. Then construct a triangle whose sides are of the corresponding sides of the triangle ABC.

Philoid · Accepted Answer

Steps of construction:

i. Now in order to make a triangle, draw a line segment AB = 5 cm.

ii. Construct a 60^o angle from point B and then draw BC = 6 cm.

iii. Join A C to get the triangle ABC.

iv. Now, dividing the base, draw a ray at an acute angle from BA.s

v. Plot 4 points on BA so that BB₁ = B₁B₂ = B₂B₃ = B₃3B₄.

vi. Join B₄ to point A.

vii. Draw a line from B₃such that it is parallel to B₄A so that it meets AB at point A’.

viii. Draw A’C’ || AC.

Triangle A’C’B is the required triangle.