Construct a △ABC in which AB=6 cm, ∠A=30∘ and ∠B=60∘. Construct another △ AB′C′ similar to △ ABC with base AB′=8 cm.

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Construct a ABC in which AB = 6 cm, A = 30^ and B = 60^. Co

Question

Construct a $△ A BC$ in which $A B = 6 c m$ , $∠ A = 3 0^{\circ}$ and $∠ B = 6 0^{\circ}$ . Construct another $△ A B^{'} C^{'}$ similar to $△ A BC$ with base $A B^{'} = 8 c m$ .

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Construct a

△ A BC

in which

A B = 6 c m

∠ A = 3 0^{\circ}

and

∠ B = 6 0^{\circ}

. Construct another

△ A B^{'} C^{'}

similar to

△ A BC

with base

A B^{'} = 8 c m

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Text solutionVerified

Steps:

1. Draw a line

A B

of length

6 c m

2. Make an angle of

3 0^{\circ}

A

and extend the line from

A

making this angle.

3. Make an angle of

6 0^{\circ}

B

and extend the line from

B

making this angle till it meets the line from step

2

at point

C .

Hence, we got the

△ A BC

Now,

4. Extend the line

A B

B^{'}

, such that

A B^{'} = 8 c m

5. Make an angle of

6 0^{\circ}

B^{'}

and extend the line from

B^{'}

making this angle till it meets the line from step

2

at point

C^{'}

Hence, we got the

△ A B^{'} C^{'}

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Question Text	Construct a $△ A BC$ in which $A B = 6 c m$ , $∠ A = 3 0^{\circ}$ and $∠ B = 6 0^{\circ}$ . Construct another $△ A B^{'} C^{'}$ similar to $△ A BC$ with base $A B^{'} = 8 c m$ .
Answer Type	Text solution:1
Upvotes	150

Construct a △ABC in which AB=6 cm, ∠A=30∘ and ∠B=60∘. Construct another △ AB′C′ similar to △ ABC with base AB′=8 cm.

Text solutionVerified

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Construct a $△ A BC$ in which $A B = 6 c m$ , $∠ A = 3 0^{\circ}$ and $∠ B = 6 0^{\circ}$ . Construct another $△ A B^{'} C^{'}$ similar to $△ A BC$ with base $A B^{'} = 8 c m$ .