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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.
Draw a right triangle whose hypotenuse is of length 4 cm and one side is of length 2.5 cm.
Draw a line segment QR = 2.5 cm.
With centre Q and radius PQ = 4 cm, draw an arc of the circle to intersect ray RX at P.
Draw a right triangle having hypotenuse of length 5.4 cm, and one of the acute angles of measure 30°
Let ABC be the right triangle at A such that hypotenuse BC = 5.4 cm. Let cC = 30°.
Therefore ∠A + ∠B + ∠C = 180°∠B = 180°− 30°− 90° = 60°
Draw a line segment BC = 5.4 cm.
Draw angle CBY = 60°
Draw angle BCX of measure 30° with X on the same side of BC as Y.
Let BY and CX intersect at A.
Then ABC is the required triangle.
Construct a right triangle ABC in which AB = 5.8 cm, BC = 4.5 cm and ∠C = 90°.
Draw a line segment BC = 4.5 cm.
Draw ∠BCX of measure 90°..
With centre B and radius AB = 5.8 cm, draw an arc of the circle to intersect ray BX at A.
Join AB to obtain the desired triangle ABC.
ABC is the required triangle.
Construct a right triangle, right angled at C in which AB = 5.2 cm and BC= 4.6 cm.
Draw a line segment BC = 4.6 cm.
Draw ∠BCX of measure 90°
With centre B and radius AB = 5.2 cm, draw an arc of the circle to intersect ray CX at A.
Constructions Exercise 17.1 Question: 1 Draw an...
Constructions Exercise 17.2 Question: 1 Draw ? ABC...
Constructions Exercise 17.3 Question: 1 Draw ? ABC...
Constructions Exercise 17.4 Question: 1 Construct...