Following are the steps of construction of a right triangle ABC and tangents AB and AE to circle with BC as diameter in which AB = 6 cm, BC = 8 cm, and ∠B = 90°.
Steps of Construction:
Draw BC = 8 cm.
From B draw an angle of 90°.
Draw an arc BA = 6 cm cutting the angle at A.
Join AC. ∴ ∆ABC is required triangle.
Choose the next step from the given construction from the given options.

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Take M as the center and BM as the radius, and draw a circle.

Take A as the center and AB as the radius and draw an arc cutting the circle at E. Join AE.

Draw a perpendicular bisector of BC cutting BC at M.

AB and AE are the required tangents.

answer is C.

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Detailed Solution

Steps of Construction:

Draw BC = 8 cm.
From B draw an angle of 90°.
Draw an arc BA = 6 cm cutting the angle at A.
Join AC. ∴ ∆ABC is required ∆.
Draw ⊥ bisector of BC cutting BC at M.
Take M as center and BM as radius, and draw a circle.
Take A as the center and AB as the radius and draw an arc cutting the circle at E. Join AE.
AB and AE are the required tangents.

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