In nbsp-ABC- if nbsp- B - nbsp- C - nbsp-45- then which of the following is-are the longest side-s-AB and BCBCACAB

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

In nbsp;ABC...

Question

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

AB and BC

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 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.

Suggest Corrections

Similar questions

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

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

Q. (i) In ∆ABC, ∠A = 90°. Which is its longest side?
(ii) In ∆ABC, ∠A = ∠B = 45°. Which is its longest side?
(iii) In ∆ABC, ∠A = 100° and ∠C = 50°. Which is its shortest side?

Q. In ∆ABC, if ∠A = ∠B = 45° name the longest side.

Q. In

△ A B C

, if

∠ B = ∠ C = 45^{\circ}

, then which of the following is/are the longest side(s)?

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

The correct option is B 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 B 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.