Construction of a triangle with the following specifications is possible.
Length of side AB = 8 cm, Length of side BC = 3 cm and ∠A = 40∘.
Construction of a triangle with the following specifications is possible.
Length of side AB = 8 cm, Length of side BC = 3 cm and ∠A = 40∘.
The correct option is B False
Step 1:
Draw the base line AB of the length 8 cm.
Step 2:
Measure the angle A with your protractor. Make a mark at 40 degrees and draw a line from A passing through the mark.
Now we must locate C. It should be 3 centimetres from B and also should be on the upper line, in order to form the required triangle. All points at a distance of 3 cms from B are on the circle centered at B of radius 3 cm. Thus we have the next step.
Step 3:
Draw a circle with centre at B and radius 3 cm.
We see from the above construction that the circle centered at B of radius 3 cm does not intersect the line through point A. Hence no triangle is formed in this case.
Therefore the given statement is false.
False
Step 1:
Draw the base line AB of the length 8 cm.
Step 2:
Measure the angle A with your protractor. Make a mark at 40 degrees and draw a line from A passing through the mark.
Now we must locate C. It should be 3 centimetres from B and also should be on the upper line, in order to form the required triangle. All points at a distance of 3 cms from B are on the circle centered at B of radius 3 cm. Thus we have the next step.
Step 3:
Draw a circle with centre at B and radius 3 cm.
We see from the above construction that the circle centered at B of radius 3 cm does not intersect the line through point A. Hence no triangle is formed in this case.
Therefore the given statement is false.
