To prove the construction of 60- angle we use the concept of triangle-

In OBC OB = OC nbsp; [radii of same arc] OB = BC nbsp; [Arcs of equal radius] Then OB = OC = BC nbsp; [Same arc with same radii] ∴ OBC is equilateral tri ...

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Standard IX

Mathematics

Proof for Validity of Construction of an Angle of 60 Degrees

To prove the ...

Question

To prove the construction of $60^{\circ}$ angle we use the concept of _____ triangle.

scalene

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equilateral

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right-angled

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isosceles

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Solution

The correct option is B equilateral

In $△ O B C$
OB = OC [radii of same arc]
OB = BC [Arcs of equal radius]
Then OB = OC = BC [Same arc with same radii]
$∴$ $△ O B C$ is equilateral triangle. (All sides are equal.)
$\Rightarrow$ $∠ B O C$ = 60° (each angle of an equilateral triangle.)

$∴$ $∠ B O C$ = $60^{\circ}$ .

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To prove the construction of 60∘ angle we use the concept of _____ triangle.

The correct option is B equilateral In △OBC OB = OC [radii of same arc] OB = BC [Arcs of equal radius] Then OB = OC = BC [Same arc with same radii] ∴ △OBC is equilateral triangle. (All sides are equal.) ⇒ ∠BOC = 60° (each angle of an equilateral triangle.) ∴ ∠BOC = 60∘.

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