Triangle ABC is constructed with AB = 4 cm, ∠CAB = $45^{0}$ and BC = 2.92 cm. Two perpendicular bisectors are drawn of side AB and BC intersecting at point O. The length of OA is:

2 cm

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3 cm

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4 cm

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5 cm

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Solution

The correct option is A
2 cm

Measure the length OA after constructing as shown above. The length OA is 2 cm.

Steps for construction of bisector:

Place the compass at one end of the line segment.

Adjust the compass to slightly longer than half the line segment length

Draw arcs above and below the line.

Keeping the same compass width, draw arcs from another end of the line.

Place ruler where the arcs cross and draw the line segment.

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