Question

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

Answer 1

Answer:

No

Step-by-step 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.