Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are times the corresponding sides of the isosceles triangle.

Question

Philoid · Accepted Answer

Steps of construction:

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

ii. Draw two arcs intersecting at 4 cm distance from points A and B; on either side of AB.

iii. Join these arcs to get perpendicular bisector CD of AB. (Since, altitude is the perpendicular bisector of base of isosceles triangle).

iv. Join points A and B to C in order to get the triangle ABC.

v. Now, draw a ray DX which is at an acute angle from point D.

vi. Plot 3 points on DX such that:

DD₁ = D₁D₂ = D₂D₃.

vii. Join D₂ to point B.

viii. Draw a line from D₃which is parallel to D₂B meeting the extension of AB at B’.

ix. Draw B’C’ || BC.

x. Then, draw A’C’ || AC.

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