Draw a right triangle whose hypotenuse is of length 4 cm and one side is of length 2.5 cm.

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Solution

Steps of construction:

Draw a line segment QR = 2.5 cm.

Draw $∠$ QRX of measure 90 $°$ .

With centre Q and radius PQ = 4 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 7
Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are $\frac{5}{3}$ times the corresponding sides of the given triangle.

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Draw a right triangle whose hypotenuse is of length 4 cm and one side is of length 2.5 cm.

Steps of construction: Draw a line segment QR = 2.5 cm. Draw ∠QRX of measure 90°. With centre Q and radius PQ = 4 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 = 2.5 cm.

Draw $∠$ QRX of measure 90 $°$ .

With centre Q and radius PQ = 4 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.