Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are times the corresponding sides of the given triangle.

Question

Philoid · Accepted Answer

Steps of construction:

i. Now in order to make a triangle, draw a line segment AB = 3 cm.

ii. Make a right angle at point A and draw AC = 4 cm from this point.

iii. Join points A and B to get the right triangle ABC.

iv. Dividing the base, draw a ray AX such at it forms an acute angle from AB.

v. Then, plot 5 points on AX such that:

AA₁ = A₁A₂ = A₂A₃ = A₃A₄ = A₄A₅.

vi. Join A₃ to point B.

vii. Draw a line from A₅which is parallel to A₃B such that it meets AB at point B’.

viii. Draw C’B’ || CB.

Triangle A’B’C’ is the required triangle.