3. Construct AABC having given AB = 4.8 cm, BC = 5.2 cm and ZB = 40°. How many triangles are possible with common base BC
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➤ Correct Question :-
Construct ∆ABC having given AB = 4.8 cm, BC = 5.2 cm and ∠B = 40°. How many triangles are possible with common base BC.
Steps :-
- First, we should draw a line segment BC measuring 5.2 cm.
- Next, take a protractor and keep it's mid-point on point B and draw a ray measuring 40°.
- Then, take a compass and measure 4.8 cm and draw an arc on the ray.
- Then, join the point C to the arc which is drawn on the ray.
- Finally, the triangle is constructed.
Instruments used :-
- Scale :- Scale is used to draw the line segments of the correct measurements and the drawn line should always be in straight way.
- Protractor :- Protractor is used to draw the lines of correct measurements of degree. Here, it's used to draw the ray from the point B.
- Cómpass :- Cómpass is used to cut the arc on the ray drawn. Here, it's used to draw the arc on the ray.
Note :-
Infinite triangles can be drawn with the common base BC.
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