Converse of the Pythagorean Theorem

Front

What is the Converse of the Pythagorean Theorem?

Back

If a triangle has side lengths a, b, and c, and a² + b² = c², then the triangle is a right triangle.

Front

How can you determine if a triangle is acute, right, or obtuse using side lengths?

Back

1. Calculate a² + b² and compare it to c². 2. If a² + b² > c², the triangle is acute. 3. If a² + b² = c², the triangle is right. 4. If a² + b² < c², the triangle is obtuse.

Front

Given side lengths 8, 14, 16, what type of triangle is formed?

Back

Acute triangle.

Front

Do the side lengths 81, 80, 13 form a right triangle?

Back

No.

Front

Given side lengths 20, 21, 29, what type of triangle is formed?

Back

Right triangle.

Front

What is the missing side if the other two sides are 12 and 36?

Back

36.

Front

What type of triangle is formed by side lengths 2, 10, 11?

Back

Obtuse triangle.

Front

What is the formula to find the length of the hypotenuse in a right triangle?

Back

c = √(a² + b²) where c is the hypotenuse.

Front

What is the relationship between the angles in an acute triangle?

Back

All angles are less than 90 degrees.

Front

What is the relationship between the angles in an obtuse triangle?

Back

One angle is greater than 90 degrees.