Pythagorean Equation from Variables - Length of Hypotenuse (Integer)

Level 1

This math topic guides learners through solving for the length of the hypotenuse in a right triangle using the Pythagorean theorem. Specifically, it employs the standard Pythagorean equation \(a^2 + b^2 = c^2\), where 'c' denotes the hypotenuse. Participants are given the integer values of the other two sides ('a' and 'b'), and they need to utilize these values to determine the correct integer value of 'c'. Each problem presents a scenario with given values and multiple choice answers, testing both the comprehension and application of the Pythagorean theorem in basic geometrical contexts.

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

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Variables - Length of Hypotenuse (Integer)

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

Find the value of 'c' in this equation

a^2 + b^2 = c^2\\a = 4\\b = 3\\c = ?

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Pythagorean Equation from Variables - Length of Hypotenuse (Integer) Worksheet

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

Find the value of 'c' in this equation

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 12\\b = 5\\c = ?$

Find the value of 'c' in this equation

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 8\\b = 6\\c = ?$

Find the value of 'c' in this equation

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

Find the value of 'c' in this equation

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 5\\b = 12\\c = ?$

Find the value of 'c' in this equation

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

Find the value of 'c' in this equation

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 6\\b = 8\\c = ?$