In ∆ABC, ∠A = 90°. Which is its longest side?

Question:

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

Solution:

(i) Given: In ABCA = 90°

So, sum of the other two angles in triangle ∠B + ∠C = 90°

i.e. ∠B, ∠C < 90°

Since, ∠A is the greatest angle.

So, the longest side is BC.

(ii) Given: ∠A = ∠B = 45°

Using angle sum property of triangle,

C = 90°

Since, ∠C is the greatest angle.

So, the longest side is AB.

(iii) Given: ∠A = 100° and ∠C = 50°

Using angle sum property of triangle,

B = 30°

Since, ∠A is the greatest angle.

So, the shortest side is BC.

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now