Pythagorean Theorem Solving for All Three Sides

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

The Pythagorean Theorem is _________

• a + b = c

• a² + b² = c²

• a² + b² + c²

• A = LW

What letter represents the hypotenuse?

• a

• b

• a and b

• c

The sum of the squares of the leg lengths is equal to the square of the hypotenuse length.

• Theory of Relativity

• Newton's 3rd Law of Motion

• Pythagorean Theorem

• Murphy's Law

The longest side of a right triangle.

• Leg 1

• Leg 2

• Perimeter

• Hypotenuse

The sum of the leg lengths of a right triangle are always ____________ the length of the hypotenuse.

• greater than

• less than

• equal to

• the square of

”Real-world” word problems often have ladders leaning against trees, houses, or other structures. In these problems, the ladder is this part of a right triangle.

• Vertex

• Leg

• It depends on the situation.

• Hypotenuse.

When testing to see if three numbers would form a right triangle, doing this guarantees the legs are on the left side of the Pythagorean Theorem equation.

• Putting the numbers in order from largest to smallest.

• Finding the roots of all the squares.

• Putting the numbers in order from smallest to largest.

• Making sure your calculator is in Scientific Mode.

State the relationship between the sides of the right-angled triangle in the diagram shown.

• 6 + 8 = AC

• 6² + AC² = 8²

• 6² + 8² = AC²

• 8² + AC² = 6²

Which equation could be used to solve the problem?

• 16² + 8² = c²

• 16² + b² = 8²

• a² + 8² = 16²

• none of these