Construct a ABC- when AB-5-2 cm- - A-30- and - B-75-

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Standard IX

Mathematics

Constructing a Similar Triangle with a Scale Factor

Construct a ...

Question

Construct a $△ A B C$ , when $A B = 5.2 c m, ∠ A = 30^{\circ}$ and $∠ B = 75^{\circ}$ .

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Solution

Step 1: Draw a line $A B$ given $5.2 c m$
Step 2: Construct $∠ 30^{o}$ at $A$ . Similarly construct $75^{o}$ at $B$ .
Step 3: Join the point $C$ with $A C$ and $B C$ .

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Construct a △ABC, when AB=5.2 cm,∠A=30∘ and ∠B=75∘.

Step 1: Draw a line AB given 5.2cmStep 2: Construct ∠30o at A. Similarly construct 75oat B.Step 3: Join the point C with AC and BC.

Construct a $△ A B C$ , when $A B = 5.2 c m, ∠ A = 30^{\circ}$ and $∠ B = 75^{\circ}$ .

Step 1: Draw a line $A B$ given $5.2 c m$
Step 2: Construct $∠ 30^{o}$ at $A$ . Similarly construct $75^{o}$ at $B$ .
Step 3: Join the point $C$ with $A C$ and $B C$ .