Question

Draw a triangle ABC in which AB = $ 5cm,\,\,BC = 7cm\,\,and\,\,\angle B = {75^0}. $

Answer 1

Hint: To draw any construction first always draw a rough figure and mark given measurement on it with proper labeling to understand steps of construction. Then, proceed one by one step to draw a full figure or required construction.

Complete step-by-step answer:
It is always advised to draw a rough figure of required figures whose construction is asked to under steps of construction.
So rough figure is

Step of construction:
I.First we draw a line of length $ 5cm $ and name it as AB.

II.Now, to draw an angle of $ {75^0} $ at initial B, we first draw an angle of $ {60^0} $ and $ {90^0} $ at initial B.

III.Draw bisector of angle formed between $ {60^0} $ and $ {90^0} $ in above figure formed to get an angle of $ {75^0} $ at initial B.

IV.Now, to draw an arc of $ 7cm $ on angle arm of $ {75^0} $ from initial B. Where it meet angle arm, name it as C.

V.Now, join initial A and C to have a triangle ABC with side AB = $ 5cm,\,\,BC = 7cm\,\,and\,\,\angle B = {90^0} $ .

These are the required steps of construction for a triangle of given measurements.

Note: While doing construction problems one should draw construction very neatly and all angles must be drawn by using compass if possible to draw and also take exact measurement of given lengths which are required to draw figures.