Math, asked by adithy1, 1 year ago

The angle of a triangle are in A.P the smallest angle is 39 degree show that the triangle is a right triangle

Answers

Answered by kushanaanandp4ac8a
1
Hey,sup!

There are 3 Angles in a triangle and the sum of angles is 180°.

Let the angles in AP be 39°,39°+d and 39°+2d.

As per the question,

39°+39°+d+39°+2d=180°.
=>117°+3d=180°.
=>3d=180°-117°.
=>3d=63°.
=>d=63°/3= 21°.

So the angles are 39°.
39°+d = 39°+21°=60°.
39°+2d=39°+2*21°=39°+42°=81°.

So the angles in AP are 39°,60°,81°.
This is not a right angle triangle.
Hope it helps.

kushanaanandp4ac8a: What!? I missed something
kushanaanandp4ac8a: I am going to correct it.
kushanaanandp4ac8a: Edit button is gone
kushanaanandp4ac8a: Have to do this right here.
adithy1: kk
kushanaanandp4ac8a: Or you can report it for a wrong answer.
kushanaanandp4ac8a: Edit button will reappear after you report.
kushanaanandp4ac8a: U there?
adithy1: yaa I'm here only
adithy1: if is possible change the question
Answered by Swarup1998
0
♧♧HERE IS YOUR ANSWER♧♧

Let, the angles of the triangle are :

(a - d), a and (a + d),

where d be common difference.

Given that :

(a - d) = 30°

We know that :

Sum of the angles of a triangle is 180°

=> (a - d) + a + (a + d) = 180

=> 3a = 180

=> a = 60

So, d = 30°

Hence the angles are :

30°, 60° and 90°.

Therefore, the triangle is a right-angled triangle.

NOTE : Considering the angle as 30°, I am giving you the answer.

♧♧HOPE THIS HELPS YOU♧♧

kushanaanandp4ac8a: It is given that the smallest angle is 39°.
Swarup1998: Your answer is right. I think that the question is wrong. So I made corrections of my own to make the triangle right-angled.
kushanaanandp4ac8a: The question is right but my answer is wrong.
kushanaanandp4ac8a: First angle is 39°
kushanaanandp4ac8a: Second angle is 90°
kushanaanandp4ac8a: Nope! The question is wrong
adithy1: kkk ur telling ur ans is right but question is wrong
adithy1: its right
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