Answer:
True
Explanation:
To determine if this is a right triangle, we see if the Pythagorean theorem works for these sides.
The Pythagorean theorem says that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse; algebraically,
a² + b² = c²
The longest side will be the hypotenuse if this is a right triangle, and the other two will be the legs.
Plugging these into the Pythagorean theorem, we have
6²+(√45)² = 9²
Square root and squared cancel each other out, giving us
36+45 = 81
This is a true statement, so this is a right triangle.
