Triangle Inequality and Pythagorean Converse

Front

What is the sum of the angles in a triangle?

Back

180 degrees.

Front

Given sides a = 2.1, b = 7.2, c = 7.5, is this a right triangle?

Back

Yes, it satisfies the Pythagorean theorem.

Front

Can the numbers 2, 15, and 16 be the sides of a triangle?

Back

Yes, they satisfy the triangle inequality.

Front

Back

No, because @@11^2 + 13^2 e 21^2@@.

Front

Is the triangle with sides 3, 4, and 5 a right triangle?

Back

Yes, it satisfies the Pythagorean theorem.

Front

What is the Triangle Inequality Theorem?

Back

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

Front

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

Back

Front

What is the converse of the Pythagorean theorem?

Back

If the square of the length of the longest side of a triangle equals the sum of the squares of the other two sides, then the triangle is a right triangle.

Front

Can a triangle have sides of lengths 1, 2, and 3?

Back

No, because 1 + 2 is not greater than 3.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.