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Question

# 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∘.

A

True

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B

False

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Solution

## 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.

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