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 = 3\\b = ?\\c = 8

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

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

A LaTex expression showing c = square root of 68

A LaTex expression showing c = square root of 20

A LaTex expression showing c = square root of 52

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 12

A LaTex expression showing c = square root of 0

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

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

A LaTex expression showing c = square root of 97

A LaTex expression showing c = square root of 61

A LaTex expression showing c = square root of 11

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 36

A LaTex expression showing c = square root of 18

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

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

A LaTex expression showing c = square root of 7

A LaTex expression showing c = square root of 57

A LaTex expression showing c = square root of 25

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 43

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

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

A LaTex expression showing c = square root of 27

A LaTex expression showing c = square root of 63

A LaTex expression showing c = square root of 45

Pythagorean Equation from Variables - Either Missing Length (Radical) (Level 1)

Practice:

Variables - Either Missing Length (Radical)

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