This math topic focuses on applying the Pythagorean Theorem to find the lengths of sides in right triangles, given in integer values. The problems require solving equations of the form \(a^2 + b^2 = c^2\) by identifying the value of one side when the other sides are provided. Each problem presents a quadratic equation derived from the Pythagorean theorem, with one side squared added to a squared integer equals another squared integer, prompting students to solve for the unknown side. This practice helps solidify foundational Pythagorean concepts in a straightforward, numerical context.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
morePractice:
Values - Length of Side (Integer)
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
Find the value of 'a' in this equation
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Pythagorean Equation from Values - Length of Side (Integer) Worksheet
| Math worksheet on 'Pythagorean Equation from Values - 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 = 8 |
| a = 5 |
| a = 60 |
| a = 9 |
| a = 11 |
| a = 10 |
| Find the value of 'b' in this equation |
| b = 3 |
| b = 7 |
| b = 8 |
| b = 5 |
| b = 1 |
| b = 13 |
| Find the value of 'a' in this equation |
| a = 25 |
| a = 7 |
| a = 5 |
| a = 4 |
| a = 1 |
| a = 13 |
| Find the value of 'a' in this equation |
| a = 5 |
| a = 1 |
| a = 8 |
| a = 15 |
| a = 4 |
| a = 3 |
| Find the value of 'a' in this equation |
| a = 10 |
| a = 14 |
| a = 12 |
| a = 7 |
| a = 13 |
| a = 6 |
| Find the value of 'b' in this equation |
| b = 12 |
| b = 10 |
| b = 11 |
| b = 7 |
| b = 5 |
| b = 8 |
| Find the value of 'a' in this equation |
| a = 10 |
| a = 6 |
| a = 80 |
| a = 4 |
| a = 7 |
| a = 8 |