Question

Classify the triangle based on the side lengths 9, 40 and 41.

Answer 1

What's a triangle called if it has all sides unequal?

Answer 2

no triangle can be formed with given side lengths, maybe? or its OBtuse?

Answer 3

Plus, you may see if it is right, obtuse or acute with their respective formulas.

Answer 4

you can form a triangle here

Answer 5

\(a^2 + b^2 = c^2\)
Right ^

\(a^2 + b^2 > c^2\)
Acute ^

\(a^2 + b^2 < c^2\)
Obtuse ^

c is the longest side.

Answer 6

so the only answer is Acute, because its all angles are less than 90?

Answer 7

you're not given angles

Answer 8

They are the sides.

Answer 9

You compare \(9^2 + 40^2\) and \(41^2\) and check what's greater.

Answer 10

so its A, since B, C, D are given angels?

Answer 11

Umm. I think you are confused here. Just compare \(9^2 + 40^2\) and \(41^2\).

Answer 12

Yes I am..

Answer 13

What's \(9^2 + 40^2\)?

Answer 14

81+1600= 1681

Answer 15

Correct. Now what's \(41^2\)?

Answer 16

woah.. same asnwer...
so its a RIGHT triangle? B?

Answer 17

Yes.

Answer 18

Thanks @ParthKohli

Answer 19

You're welcome!