Pythagoras Worksheets – New & Engaging

Pythagoras Worksheets – New & Engaging

Pythagoras Worksheets

What Is The Hypotenuse?

The hypotenuse is the longest side of the right angle triangle. It is directly opposite the right-angle symbol. The hypotenuse is used for trigonometry. The sine ratio and cosine ratio involve the hypotenuse side of the triangle.

The Hypotenuse

What Is Pythagoras' Theorem?

The pythagoras theorem states that a² + b² = c². c is always the longest side of the triangle called the hypotenuse (see above). In the example below the hypotenuse is 5 cm, a equates to 3 cm, b equates to 4 cm. It is true that 3² (9), plus 4² (16) equals 5², 25.

Pythagoras' Theorem

Pythagoras Example Question 1

The image below shows an example of a pythagoras question. The missing side is labelled x and it is the hypotenuse. Since 6² (36) adding to 8² (64) equals 10² (100) then the missing side x is 10 cm.

Pythagoras' Example Question 1

Pythagoras Example Question 2

The missing side in pythagoras question 2 is x. This time x is not the hypotenuse. The hypotenuse is given and it is 13 cm. The final answer is 12 cm because 13² (169) minus 5² (25) is 144 and the square root of 144 is 12.

Pythagoras' Example Question 2

Pythagorean Triples

Pythagorean triples are useful to remember. For example if two sides of a right angle triangle measure 3 units and 4 units the longest side measures 5 units. When side a measures 5 units and side b measures 12 units then the hypotenuse measures 13 units.

Pythagorean Triples

For Trigonometry Cazoomy Worksheets try: Trigonometry Worksheets. For Area Cazoomy Worksheets try: Area Worksheets. For Polygons Cazoomy Worksheets try: Polygons Worksheets.