In ABC if - B - C -45- which of the following is the longest side-A- ACB- ABC- None of theseD- BC

The correct option is D BC ∠ A+∠ B+∠ C=180^∘(angle sum property of triangle) ⇒∠ A+ 45^∘ + 45^∘=180^∘ ⇒∠ A = 90^∘ The side opposite to greatest angle is the lar ...

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Standard IX

Mathematics

Isosceles Triangle Property

In ABC if ∠ B...

Question

In $△$ ABC if $∠$ B = $∠$ C = $45^{\circ}$ , which of the following is the longest side?

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None of these

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Solution

The correct option is C
BC

$∠ A + ∠ B + ∠ C = 180^{\circ} (angle sum property of triangle) \Rightarrow ∠ A + 45^{\circ} + 45^{\circ} = 180^{\circ} \Rightarrow ∠ A = 90^{\circ}$

The side opposite to greatest angle is the largest. Hence BC is the largest side.

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In △ABC if ∠B = ∠C = 45∘, which of the following is the longest side?

The correct option is C BC ∠A+∠B+∠C=180∘(angle sum property of triangle)⇒∠A+45∘+45∘=180∘⇒∠A=90∘ The side opposite to greatest angle is the largest. Hence BC is the largest side.

In $△$ ABC if $∠$ B = $∠$ C = $45^{\circ}$ , which of the following is the longest side?

The correct option is C
BC

$∠ A + ∠ B + ∠ C = 180^{\circ} (angle sum property of triangle) \Rightarrow ∠ A + 45^{\circ} + 45^{\circ} = 180^{\circ} \Rightarrow ∠ A = 90^{\circ}$

The side opposite to greatest angle is the largest. Hence BC is the largest side.