In a - ABC-if- B- C-45- which is the longest side-

In Δ ABC,∠ B=∠ C=45^∘ But ∠ A+∠ B+∠ C=180^∘ ⇒ ∠ A+45^∘+45^∘=180^∘ ⇒ ∠ A+90^∘=180^∘ ∴ ∠ A=180^∘ 90^∘=90^∘ ∴ ∠ A is the greatest ∴ Side BC opposite to ti is the ...

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Byju's Answer

Standard IX

Mathematics

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

In a Δ ABC, i...

Question

In a $Δ A B C, i f ∠ B = ∠ C = 45^{\circ},$ which is the longest side?

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Solution

In $Δ A B C, ∠ B = ∠ C = 45^{\circ}$

But $∠ A + ∠ B + ∠ C = 180^{\circ}$

$\Rightarrow ∠ A + 45^{\circ} + 45^{\circ} = 180^{\circ}$

$\Rightarrow ∠ A + 90^{\circ} = 180^{\circ}$

$∴ ∠ A = 180^{\circ} - 90^{\circ} = 90^{\circ}$

$∴ ∠ A$ is the greatest

$∴$ Side BC opposite to ti is the longest

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In a ΔABC, if ∠B=∠C=45∘, which is the longest side?

In ΔABC,∠B=∠C=45∘ But ∠A+∠B+∠C=180∘ ⇒ ∠A+45∘+45∘=180∘ ⇒ ∠A+90∘=180∘ ∴ ∠A=180∘−90∘=90∘ ∴ ∠A is the greatest ∴ Side BC opposite to ti is the longest

In a $Δ A B C, i f ∠ B = ∠ C = 45^{\circ},$ which is the longest side?