Question

A triangle has sides with lengths of 8 meters, 17 meters, and 20 meters. Is it a right triangle

Yes
No
Maybe

Answer 1

yes coz in a right angled triangle all the sides are never equal

Explanation:

yes coz in a right angled triangle all the sides are never equal

Answer 2

No, they do not make a right triangle.

Explanation:

Use the Pythagorean Theorem to see if the sides form a right triangle.

`a^2+b^2=c^2`

'20' will be 'c'. It is the largest number in the sides given.

'8' will be 'a' and 17 will be 'b'.

`8^2+17^2=20^2\\\rightarrow 8^2=64\\\rightarrow 17^2 = 289\\\rightarrow 20^2=400\\64+289=400\\\boxed{353\\eq 400}`

The sides do not make a right triangle. They do not satisfy the theorem.