Question

HELPPPP MEEEEEEEE ! Can you have a right triangle where the lengths of the legs are whole numbers and the length of the hypotenuse is 23? Explain.

Answer 1

no, u cant

a^2 + b^2 = c^2.....pythagorean theorem used on only right triangles...where a and b are the legs and c is the hypotenuse

a^2 + b^2 = 23^2
a^2 + b^2 = 529...so u would have to find 2 square numbers that add up to 529. There aren't any.

Answer 2

The answer is NO

Explanation:

Firstly, any right triangle has to obey the Pythagorean Theorem Formula.

This theorem says:

If a, b are two sides of the triangle and c is the hypotenuse, the formule is:

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

There are few combinations of whole numbers that satisfy the equation. They are called "Pythagorean Triples". I have attached an image that it shows these combinations. You can choose whatever combination and its multiples satisfy the equation as well.

Finally, if you see the image, there are not combination where the hypotenuse is 23.