Question

Is a triangle with sides of length 6ft, 21 ft, 23 ft. A right triangle?

Answer 1

No

Explanation:

By using the Pythagoras theorem, it can be easily determined that whether the triangle is right triangle or not.

Thus,
`a^(2)+b^(2)=c^(2)` where where a and b are the legs and c is the hypotenuse.

Let a=6ft, b=21ft and c=23ft, then

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

`(6)^(2)+(21)^(2)=(23)^(2)`

`36+441=(23)^(2)`

`477=529`

which is not possible, therefore the given triangle is not right triangle because it does not satisfy the Pythagoras theorem.