is a triangle with sides of length 6ft,21ft,23ft a right triangle.? explain

Check it out with the Pythagorean Theorem.

a^2 + b^2 = c^2

Also -- please learn to spell A L G E B R A.

To determine if a triangle is a right triangle, we need to check if it satisfies the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we have a triangle with sides of length 6ft, 21ft, and 23ft.

To apply the Pythagorean theorem, we need to square the lengths of each side:

6^2 = 36
21^2 = 441
23^2 = 529

Now let's check if the sum of the squares of the two shorter sides is equal to the square of the longest side (hypotenuse):

36 + 441 = 477
529 = 529

Since 477 is not equal to 529, we can conclude that this triangle is not a right triangle.

In summary, when checking if a triangle is a right triangle, you can use the Pythagorean theorem by squaring the lengths of all sides and verifying if the sum of the squares of the two shorter sides equals the square of the longest side.