Question

A triangle has side lengths of 7, 10, and 12. Is the triangle a right triangle?
A) Yes
B) No

Answer 1

Apply the Pythagorean theorem here.
Check if:
\( \color{Black}{\Rightarrow 7^2 + 10^2 = 12^2}\)

Answer 2

Then that's no, because it comes out to be 293.. A right triangle is nly 90

Answer 3

only*

Answer 4

No, we're talking about the side lengths here, not the angle.

Answer 5

Huh wha is the side length of a triangle?

Answer 6

In a right triangle:

\( \color{Black}{\Rightarrow a^2 + b^2 = c^2 }\)

c is the longest side aka hypotenuse.

Answer 7

Ok.. I still don't undestand the question.

Answer 8

You have to check if \(7^2 + 10^2 = 12^2\) for checking if it is a right triangle.

Answer 9

I did, 7²=49 , 10²=100, 13²=144 && adding them all together you get 293

Answer 10

No! Why are you adding?

Answer 11

Why are you getting mad?

Answer 12

\(\Large \textbf{LHS}\)
\( \color{Black}{\Rightarrow 7^2 + 10^2 }\)
\( \color{Black}{\Rightarrow 49 + 100 }\)
\( \color{Black}{\Rightarrow 149 }\)

\(\Large \textbf{RHS}\)
\( \color{Black}{\Rightarrow 12^2 }\)
\( \color{Black}{\Rightarrow144 }\)

Is 149 equal to 144?

Answer 13

No it's not equal..

Answer 14

149 is greater

Answer 15

Then these are not the sides of a right angled triangle.

Answer 16

k. thanks