Construct a triangle in which AB = 4 cm, ∠CAB = $45^{0}$ and BC = 2.92 cm. Draw a circle circumscribing the triangle ABC. The radius of the circle 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

The radius of the circle = 2 cm

Steps for construction

Step 1: Draw triangle ABC with the given measurements.

Step 2: Construct the perpendicular bisectors of any two sides (AC and BC) and let them meet at S which is the circumcentre.

Step 3: With S as the center and SA = SB = SC as radius draw the circumcircle to pass through A, B and C.

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Construct a triangle in which AB = 4 cm, ∠CAB = 450 and BC = 2.92 cm. Draw a circle circumscribing the triangle ABC. The radius of the circle is:

Construct a triangle in which AB = 4 cm, ∠CAB = $45^{0}$ and BC = 2.92 cm. Draw a circle circumscribing the triangle ABC. The radius of the circle is: