In a ABC - - ABC -30- and - ACB -45- Which is the longest side in this triangle-A- All are same in lengthB- CAC- BCD- AB

The correct option is C BC ∠BAC = 180^∘ (30^∘ + 45^∘) = 105^∘. The side opposite to the largest angle is the longest. Side opposite to ∠BAC = BC. Hence, BC i ...

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Standard VII

Mathematics

Finding Unknown Angles

In a ABC , ∠ ...

Question

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

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All are same in length

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Solution

The correct option is B
BC

$∠$ BAC = $180^{\circ} - (30^{\circ} + 45^{\circ}) = 105^{\circ}$ . The side opposite to the largest angle is the longest. Side opposite to $∠$ BAC = BC. Hence, BC is the longest side.

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

The correct option is B BC ∠BAC = 180∘−(30∘+45∘)=105∘. The side opposite to the largest angle is the longest. Side opposite to ∠BAC = BC. Hence, BC is the longest side.

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

The correct option is B
BC

$∠$ BAC = $180^{\circ} - (30^{\circ} + 45^{\circ}) = 105^{\circ}$ . The side opposite to the largest angle is the longest. Side opposite to $∠$ BAC = BC. Hence, BC is the longest side.