In ABC- if - B - - C - 45- then which of the following is-are the longest sides-

∠ A+∠ B+∠ C=180^∘ (angle sum property of triangle) ⇒∠ A+ 45^∘ + 45^∘=180^∘ ⇒∠ A = 90^∘ The side opposite to largest angle will be the longest side. Hence BC i ...

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Byju's Answer

Standard IX

Mathematics

Relationship between Unequal Sides of Triangle and the Angles Opposite to It.

In ABC, if ∠ ...

Question

In $△ A B C$ , if $∠ B = ∠ C = 45^{\circ}$ , then which of the following is/are the longest side(s)?

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AB and BC

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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 largest angle will be the longest side. Hence BC is the largest side.

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In △ABC, if ∠B=∠C=45∘, then which of the following is/are the longest side(s)?

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 largest angle will be the longest side. Hence BC is the largest side.

In $△ A B C$ , if $∠ B = ∠ C = 45^{\circ}$ , then which of the following is/are the longest side(s)?

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 largest angle will be the longest side. Hence BC is the largest side.