Pythagorean Equation from Variables - Length of Side (Radical) (Level 1)

This math topic focuses on utilizing the Pythagorean theorem to find the radical (square root) of one side of a right triangle when given the lengths of the other two sides. The problems are structured to enhance skills in manipulating and solving for variables in algebraic expressions derived from geometric principles, specifically by squaring and square rooting within the context of the Pythagorean theorem. Students are required to isolate the variable, execute the necessary arithmetic operations, and determine the square root of the resulting values to find the unknown side length.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Variables - Length of Side (Radical)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Find the radical (square root) for the value of 'b' in this equation

a^2 + b^2 = c^2\\a = 4\\b = ?\\c = 9

Pythagorean Equation from Variables - Length of Side (Radical) Worksheet

Math worksheet on 'Pythagorean Equation from Variables - Length of Side (Radical) (Level 1)'. Part of a broader unit on 'Pythagoras - Foundations' Learn online: app.mobius.academy/math/units/pythagoras_foundations/

Find the radical (square root) for the value of 'b' in this equation

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 4\\b = ?\\c = 6$

A LaTex expression showing b = square root of 92

A LaTex expression showing b = square root of 20

A LaTex expression showing b = square root of 56

Find the radical (square root) for the value of 'a' in this equation

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = ?\\b = 2\\c = 3$

A LaTex expression showing a = square root of 23

A LaTex expression showing a = square root of 14

A LaTex expression showing a = square root of 5

A LaTex expression showing a = square root of 13

Find the radical (square root) for the value of 'a' in this equation

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = ?\\b = 2\\c = 9$

A LaTex expression showing a = square root of 85

A LaTex expression showing a = square root of 239

A LaTex expression showing a = square root of 158

A LaTex expression showing a = square root of 77

Find the radical (square root) for the value of 'a' in this equation

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = ?\\b = 3\\c = 4$

A LaTex expression showing a = square root of 39

A LaTex expression showing a = square root of 23

A LaTex expression showing a = square root of 7

A LaTex expression showing a = square root of 41

Find the radical (square root) for the value of 'a' in this equation

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = ?\\b = 3\\c = 7$

A LaTex expression showing a = square root of 89

A LaTex expression showing a = square root of 156

A LaTex expression showing a = square root of 138

A LaTex expression showing a = square root of 40

Find the radical (square root) for the value of 'a' in this equation

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = ?\\b = 4\\c = 7$

A LaTex expression showing a = square root of 163

A LaTex expression showing a = square root of 131

A LaTex expression showing a = square root of 33

A LaTex expression showing a = square root of 82

Find the radical (square root) for the value of 'a' in this equation

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = ?\\b = 5\\c = 6$

A LaTex expression showing a = square root of 11

A LaTex expression showing a = square root of 47

A LaTex expression showing a = square root of 83