Pythagorean Theorem converse &distance b/w 2 points

Front

What is the formula for the Pythagorean theorem?

Back

a² + b² = c²

Front

If a = 2.1, b = 7.2, and c = 7.5, is this a right triangle?

Back

Yes

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

6.3

Front

Do the segment lengths 9, 12, and 15 form a right triangle?

Back

Yes

Front

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

Back

41

Front

What is the distance formula between two points (x1, y1) and (x2, y2)?

Back

d = √((x2 - x1)² + (y2 - y1)²)

Front

What does it mean for a triangle to be a right triangle?

Back

A triangle with one angle measuring 90 degrees.

Front

If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?

Back

Yes, because 5² + 12² = 13².

Front

What is the converse of the Pythagorean theorem?

Back

If a² + b² = c², then the triangle is a right triangle.

Front

How can you determine if three lengths can form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side.