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Smart Worksheet: Pythagoras' Law (Very Easy)

Smart Worksheet · Grade 12 · English

Smart Worksheet: Pythagoras' Law (Very Easy)

Activity 1: Identify the Right Triangle

Below are three triangles. Circle the one that is a right triangle.

  1. Triangle with sides 3 cm, 4 cm, 5 cm
  1. Triangle with sides 5 cm, 5 cm, 5 cm
  1. Triangle with sides 2 cm, 3 cm, 4 cm

Activity 2: Fill in the Blanks

The Pythagorean Theorem states that in a right triangle:
___ + ___ = ___
(Write the formula using the variables a, b, and c for the side lengths)


Activity 3: Label the Triangle

Below is a triangle. Label the sides as a, b, and c, where c is the hypotenuse.

/| / | / | / | /____|


Activity 4: Multiple Choice

What is the length of the hypotenuse in a right triangle with legs of 6 cm and 8 cm?
a) 10 cm
b) 12 cm
c) 14 cm
d) 16 cm

Activity 5: True or False

True or False: The Pythagorean Theorem can be used for any type of triangle.

Activity 6: Short Answer

If one leg of a right triangle is 5 cm and the hypotenuse is 13 cm, what is the length of the other leg?
Show your work:




Activity 7: Word Problem

A ladder is leaning against a wall. The bottom of the ladder is 9 m from the wall, and the ladder reaches up to a window 12 m above the ground. How long is the ladder?
Work out your answer:




Activity 8: Matching

Match each triangle to whether the Pythagorean Theorem applies (Yes or No):
Triangle Description
Yes/No
Right triangle

Scalene triangle (not right)

Isosceles right triangle


Activity 9: Draw and Label

Draw a right triangle with legs of 7 cm and 24 cm. Label the sides a, b, and c.

Activity 10: Calculation Practice

Find the length of the missing side in a right triangle where one leg is 8 units and the hypotenuse is 17 units.
Show all steps: