Which among the given options must be the length of side AC for triangle construction to be possible, if length of side AB is 6 cm and ∠ B = 70∘?
Which among the given options must be the length of side AC for triangle construction to be possible, if length of side AB is 6 cm and ∠ B = 70∘?
The correct option is D 6 cm
Step 1:
Draw the base line AB of the length 6 cm.
Step 2:
Measure the angle B with your protractor. Make a mark at 70 degrees and draw a line from B passing through the mark.
Now we must locate C.
If the length of the side AC happens to be 3 cm or 4 cm or 5 cm, then the triangle construction is not possible, since the circles drawn with centre at A and radius 3 cm/4 cm/5 cm do not intersect the line through point B.
But if the length of the side AC happens to be 6 cm, then the circle drawn with centre at A and radius 6 cm intersects the line through point B, and this point of intersection is the required point C. Thus triangle construction becomes possible if the length of the side AC is 6 cm.
6 cm
Step 1:
Draw the base line AB of the length 6 cm.
Step 2:
Measure the angle B with your protractor. Make a mark at 70 degrees and draw a line from B passing through the mark.
Now we must locate C.
If the length of the side AC happens to be 3 cm or 4 cm or 5 cm, then the triangle construction is not possible, since the circles drawn with centre at A and radius 3 cm/4 cm/5 cm do not intersect the line through point B.
But if the length of the side AC happens to be 6 cm, then the circle drawn with centre at A and radius 6 cm intersects the line through point B, and this point of intersection is the required point C. Thus triangle construction becomes possible if the length of the side AC is 6 cm.
