In ABC- - ABC - 30- and - ACB - 45- Which is the longest side in this triangle-

The correct option is C BC In Δ ABC, ∠ BAC = 180^∘ (30^∘ + 45^∘) = 105^∘. We know that, in a triangle, the side opposite to the largest angle will be the lon ...

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Standard IX

Mathematics

Triangle Inequality 1

In ABC, ∠ ABC...

Question

In $△ A B C$ , $∠ A B C = 30^{\circ}$ and $∠ A C B = 45^{\circ}$ . Which is the longest side in this triangle?

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All sides are same in length

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Solution

The correct option is B
BC

In $Δ A B C$ ,
$∠ B A C = 180^{\circ} - (30^{\circ} + 45^{\circ}) = 105^{\circ}$ . We know that, in a triangle, the side opposite to the largest angle will be the longest.
Side opposite to $∠ B A C$ is $B C$ .
Hence, $B C$ is the longest side.

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In △ABC, ∠ABC=30∘ and ∠ACB=45∘. Which is the longest side in this triangle?

The correct option is B BC In ΔABC, ∠BAC=180∘−(30∘+45∘)=105∘. We know that, in a triangle, the side opposite to the largest angle will be the longest. Side opposite to ∠BAC is BC. Hence, BC is the longest side.

In $△ A B C$ , $∠ A B C = 30^{\circ}$ and $∠ A C B = 45^{\circ}$ . Which is the longest side in this triangle?

The correct option is B
BC

In $Δ A B C$ ,
$∠ B A C = 180^{\circ} - (30^{\circ} + 45^{\circ}) = 105^{\circ}$ . We know that, in a triangle, the side opposite to the largest angle will be the longest.
Side opposite to $∠ B A C$ is $B C$ .
Hence, $B C$ is the longest side.