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

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.

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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 'a' in this equation

a^2 + b^2 = c^2\\a = ?\\b = 6\\c = 8

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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 'a' in this equation

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = ?\\b = 4\\c = 5$

A LaTex expression showing a = square root of 59

A LaTex expression showing a = square root of 41

A LaTex expression showing a = square root of 9

A LaTex expression showing a = square root of 34

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

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = ?\\b = 5\\c = 7$

A LaTex expression showing a = square root of 73

A LaTex expression showing a = square root of 24

A LaTex expression showing a = square root of 122

A LaTex expression showing a = square root of 123

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

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = ?\\b = 3\\c = 6$

A LaTex expression showing a = square root of 27

A LaTex expression showing a = square root of 99

A LaTex expression showing a = square root of 63

A LaTex expression showing a = square root of 117

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

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

A LaTex expression showing b = square root of 94

A LaTex expression showing b = square root of 53

A LaTex expression showing b = square root of 45

A LaTex expression showing b = square root of 143

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

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 3\\b = ?\\c = 6$

A LaTex expression showing b = square root of 81

A LaTex expression showing b = square root of 27

A LaTex expression showing b = square root of 99

A LaTex expression showing b = square root of 63

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

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

A LaTex expression showing b = square root of 28

A LaTex expression showing b = square root of 12

A LaTex expression showing b = square root of 44

A LaTex expression showing b = square root of 52

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

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 5\\b = ?\\c = 9$

A LaTex expression showing b = square root of 106

A LaTex expression showing b = square root of 218

A LaTex expression showing b = square root of 137

A LaTex expression showing b = square root of 56