Construct ∆ ABC in which AB = 6.4 cm, ∠A = 45° and ∠B = 60°.

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Solution

Steps of construction:

Draw a line segment AB = 6.4 cm.

Draw $∠ B A X = 45 °$ .

Draw $∠$ ABY with Y on the same side of AB as X such that $∠$ ABY = 60 $°$ .

Let AX and BY intersect at C; ABC is the required triangle.

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Q. Construct a Δ ABC in which BC = 3.4 cm, AB − AC = 1.5 cm and ∠B = 45°.

Q. Construct

Δ

ABC such that AB = 6.5 cm,

∠ A

= 45°, and

∠ B

= 60°. The length of AC is .

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Construct ∆ ABC in which AB = 6.4 cm, ∠A = 45° and ∠B = 60°.

Steps of construction: Draw a line segment AB = 6.4 cm. Draw ∠BAX = 45°. Draw ∠ABY with Y on the same side of AB as X such that ∠ABY = 60°. Let AX and BY intersect at C; ABC is the required triangle.

Steps of construction:

Draw a line segment AB = 6.4 cm.

Draw $∠ B A X = 45 °$ .

Draw $∠$ ABY with Y on the same side of AB as X such that $∠$ ABY = 60 $°$ .

Let AX and BY intersect at C; ABC is the required triangle.