DO-QZ-4 TRIANGLE INEQUALITY AND PYTHAGOREAN THEOREM

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

Which set of sides can form a right triangle? 4, 5, 6 or 5, 12, 13?

Back

5, 12, 13 can form a right triangle.

Front

What is the longest side of a right triangle called?

Back

The longest side of a right triangle is called the hypotenuse.

Front

Where is the hypotenuse located in a right triangle?

Back

The hypotenuse is located opposite the right angle.

Front

What is the ratio for sine in a right triangle?

Back

The ratio for sine is opposite/hypotenuse.

Front

What is the ratio for cosine in a right triangle?

Back

The ratio for cosine is adjacent/hypotenuse.

Front

What is the ratio for tangent in a right triangle?

Back

The ratio for tangent is opposite/adjacent.

Front

If one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

Front

Can the sides 3, 4, and 8 form a triangle?

Back

No, they cannot form a triangle because 3 + 4 is not greater than 8.