Question

construct a triangle ABC in which AB=4cm, angle B=60 degree and altitude CL=3cm. construct a triangle ADE similar to triangle ABC such that each side of triangle is 3/2 times that of the corresponding side of triangle ABC.​

Answer 1

To construct the triangle ABC and ADE steps are given below. Firstly triangle ABC is constructed, then ADE.

•Draw a line AB = 4 cm.

•At B, mark angle 60° using protector.

•At mid point of AB, which will be 2 cm, label it as L.

•Now, from L, extend the line of 3 cm.

•The other point at L will be C.

•Now join, 60° angle line at C.

•Further, join A and C.

•Triangle ABC is ready.

For triangle ADE -

•AD will be 3/2 times AB.

•AD = 3/2*4

•AD = 6cm.

•Naming CL as EL for this triangle.

•Length of EL will be 3/2*3

•EL = 4.5 cm.

•The same procedure will be followed for construction.

•Draw line AD.

•Make an angle of 60° at.angle D.

•Mark the mid point of AD, which will be at 3 cm.

•Join EL.

•Join angle D with point E.

•Join A and E.

•Triangle ADE is ready.