This topic focuses on applying the Pythagorean theorem. It involves solving for the missing side of a right triangle, given the lengths of the other two sides, all of which must be integers. Each problem presents a different set of values and students are provided with a set of possible answers to select from. The fundamental skill practiced here is using the Pythagorean equation, \(a^2 + b^2 = c^2\), to deduce the value of one side when the lengths of the hypotenuse and one leg are known. The problems vary in their numerical arrangements, enhancing learners' ability to apply the theorem across diverse scenarios.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
morePractice:
Squares - Length of Side (Integer)
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
Find the value of 'b' in this equation
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Pythagorean Equation from Squares - Length of Side (Integer) Worksheet
| Math worksheet on 'Pythagorean Equation from Squares - Length of Side (Integer) (Level 1)'. Part of a broader unit on 'Pythagoras - Foundations' Learn online: app.mobius.academy/math/units/pythagoras_foundations/ |
| Find the value of 'a' in this equation |
| a = 80 |
| a = 9 |
| a = 3 |
| a = 18 |
| a = 6 |
| a = 10 |
| Find the value of 'b' in this equation |
| b = 80 |
| b = 10 |
| b = 3 |
| b = 18 |
| b = 7 |
| b = 6 |
| Find the value of 'a' in this equation |
| a = 1 |
| a = 4 |
| a = 8 |
| a = 2 |
| a = 15 |
| a = 3 |
| Find the value of 'b' in this equation |
| b = 3 |
| b = 8 |
| b = 60 |
| b = 6 |
| b = 9 |
| b = 10 |
| Find the value of 'a' in this equation |
| a = 3 |
| a = 13 |
| a = 1 |
| a = 5 |
| a = 25 |
| a = 2 |
| Find the value of 'a' in this equation |
| a = 9 |
| a = 4 |
| a = 2 |
| a = 1 |
| a = 3 |
| a = 5 |
| Find the value of 'b' in this equation |
| b = 2 |
| b = 4 |
| b = 5 |
| b = 1 |
| b = 3 |
| b = 8 |