Question

Construct a triangle similar to a given ΔXYZ with its sides equal to (3/4)^th of the corresponding sides of ΔXYZ. Write the steps of construction.

Answer 1

Given that

Construct a of given data, and then a triangle similar to it whose sides are of the corresponding sides of.

We follow the following steps to construct the given

Step of construction

Step: I- First of all we draw a line segment.

Step: II- With Y as centre draw an angle.

Step: III- With Y as centre and radius, draw an arc.

Step: IV- Join XZ to obtain.

Step: V- Below XY, makes an acute angle.

Step: VI -Along XP, mark off four points such that

Step: VII- Join.

Step: VIII- Since we have to construct a triangle each of whose sides is of the corresponding sides of.

So, we take three parts out of four equal parts on XP from point draw and meeting XY at Y’.

Step: IX- From Y’ draw and meeting XZ at Z’

Thus, is the required triangle, each of whose sides is of the corresponding sides of.