Mathematics
Draw a right-angled ΔABC in which hypotenuse BC = 6.4 cm and the altitude from A on BC is 2.5 cm. Draw the circumcircle of the triangle and measure its radius.
Constructions
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Answer
Steps of construction :
Draw BC = 6.4 cm.
Draw PQ, the right bisector of BC and draw a circle with PB as radius.
Along PQ, cut off PR = 2.5 cm.
Through R, draw AA′ ∥ BC meeting the circle at A and A′.
Join AB and AC. Draw AT perpendicular to BC, AT = 2.5 cm.
Mid-point of BC is circumcentre and radius = BC.
Hence, radius PQ = 3.2 cm.
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