Pythagorean Equation from Variables - Either Missing Length (Radical)

Level 1

This math topic focuses on practicing the Pythagorean theorem by solving for the missing hypotenuse, denoted as 'c', in a right triangle using given side lengths 'a' and 'b'. Students apply the theorem to find the square root (radical) of the sum of the squares of the given side lengths, enhancing their foundational understanding of triangles and radicals. Each problem includes different values for 'a' and 'b,' and offers potential solutions for 'c', among which only one is correct based on Pythagoras' theorem. This topic helps strengthen students' skills in algebraic manipulation and applying geometric principles to find exact solutions.

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

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Variables - Either Missing Length (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 = 5

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Pythagorean Equation from Variables - Either Missing Length (Radical) Worksheet

Math worksheet on 'Pythagorean Equation from Variables - Either Missing Length (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 'c' in this equation

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

A LaTex expression showing c = square root of 25

A LaTex expression showing c = square root of 43

A LaTex expression showing c = square root of 7

A LaTex expression showing c = square root of 34

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

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

A LaTex expression showing c = square root of 0

A LaTex expression showing c = square root of 18

A LaTex expression showing c = square root of 36

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

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

A LaTex expression showing c = square root of 29

A LaTex expression showing c = square root of 21

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

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = ?\\b = 4\\c = 9$

A LaTex expression showing a = square root of 227

A LaTex expression showing a = square root of 97

A LaTex expression showing a = square root of 146

A LaTex expression showing a = square root of 65

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

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

A LaTex expression showing c = square root of 8

A LaTex expression showing c = square root of 16

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

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 3\\b = ?\\c = 8$

A LaTex expression showing b = square root of 55

A LaTex expression showing b = square root of 183

A LaTex expression showing b = square root of 119

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

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

A LaTex expression showing c = square root of 66

A LaTex expression showing c = square root of 41

A LaTex expression showing c = square root of 9

Pythagorean Equation from Variables - Either Missing Length (Radical)

Practice:

Variables - Either Missing Length (Radical)

Pythagorean Equation from Variables - Either Missing Length (Radical) Worksheet