Question

Construct a right angled triangle having hypotenuse of length 5.4 cm and one of its acute angles measure 60°.

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Answer 1

Answer:

Step-by-step explanation:

Let ABC be the right triangle such that hypotenuse BC=5.4cm,

Let ∠C=30  

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Therefore

∠A+∠B+∠C=180  

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⇒∠B=180−30−90=60  

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 steps of construction:

1.Draw a line segment BC=5.4cm

2.Draw angle CBY=60  

 

3.Draw angle BCX of measure 30  

 with X on the same side of BC as Y

4.Let BY and CX intersect at A

Then ABC is the required triangle