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Question

A triangle ABC is constructed with AB = 3.5 cm, BC = 6 cm and A=90. Then the length of the third side is

A
4.87 cm
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B
3.74 cm
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C
3.54 cm
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D
4.64 cm
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Solution

The correct option is A 4.87 cm

Step 1:
Draw the line segment AB of the length 3.5 cm.

Step 2:
Measure the angle A with your protractor. Make a mark at 90 degrees and draw a line from A passing through the mark.

Step 3:
Cut an arc of radius 6 cm on the line passing through the point A. The point where this arc cuts the line is the point C.

Step 4:
Draw a line from C to point B to get the required triangle ABC, as shown below.


From the above construction, we see that the measure of the third side AC is 4.87 cm

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