A triangle with sides of length 3 cm, 3 cm, and 7 cm is a right triangle. True or false?

In a right triangle, the hypotenuse is always longer than the legs.

If this is a right triangle, then the legs measure 3 cm each and the hypotenuse measures 7 cm.

Now we use the Pythagoras theorem.

The sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.

The legs are a and b.

The hypotenuse is c.

a^2 + b^2 = c^2

3^2 + 3^2 = 7^2

9 + 9 = 49

18 = 49

18 = 49 is false. Since the side lengths make the Pythagorean equation false, the triangle is not a right triangle.

Answer: False

False a^2+b^2 doesn't = c^2