Draw a right triangle with hypotenuse of length 5 cm and one side of length 4 cm.

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Solution

Steps of construction:

Draw a line segment QR = 4 cm.

Draw $∠$ QRX of measure 90 $°$ .

With centre Q and radius PQ = 5 cm, draw an arc of the circle to intersect ray RX at P.

Join PQ to obtain the desired triangle PQR.

PQR is the required triangle.

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Question 99
Draw a triangle whose sides are of lengths 4 cm, 5 cm and 7 cm.

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Draw a right triangle with hypotenuse of length 5 cm and one side of length 4 cm.

Steps of construction: Draw a line segment QR = 4 cm. Draw ∠QRX of measure 90°. With centre Q and radius PQ = 5 cm, draw an arc of the circle to intersect ray RX at P. Join PQ to obtain the desired triangle PQR. PQR is the required triangle.

Steps of construction:

Draw a line segment QR = 4 cm.

Draw $∠$ QRX of measure 90 $°$ .

With centre Q and radius PQ = 5 cm, draw an arc of the circle to intersect ray RX at P.

Join PQ to obtain the desired triangle PQR.

PQR is the required triangle.