Question

Construct a ΔABC in which ∠A = 90°, AB = 6 cm and AC = 4.5 cm. Bisect AC at O. Draw a circle with centre O and radius ОС. Draw two tangents to this circle from point B.

Answer 1

Steps of Construction:

• Draw AB = 6 cm.
• At A, draw a perpendicular to AB and cut AC = 4.5 cm on it. Join BC.
• Draw a perpendicular bisector of AC to get the midpoint O.
• With centre O and radius OC, draw the circle.
• Join BO.
• Draw a perpendicular bisector of BO to get the midpoint M.
• With centre M and radius MB (or MO), draw a circle cutting the given circle at P and Q.
• Join BP and BQ. These are the required tangents.