Pythagorean Equation from Variables - Either Missing Length (Squared Values) (Level 1) - Mobius Math

Pythagorean Equation from Variables - Either Missing Length (Squared Values)

Level 1

This math topic focuses on practicing the Pythagorean theorem, particularly in solving for the square of one side of a right triangle when given the lengths or value squares of the other two sides. The problems involve identifying the correct squared value of a side ('a', 'b', or 'c') using the given equations and listed multiple-choice answers. Participants use the foundational Pythagorean relationship \(a^2 + b^2 = c^2\) to deduce the unknown squared side. Each question presents different triangle scenarios with various numerical setups, challenging students to apply the theorem accurately to find the missing measurements.

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

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Variables - Either Missing Length (Squared Values)

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

Find what the square of 'a' would be equal to

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

Earned ?

Pythagorean Equation from Variables - Either Missing Length (Squared Values) Worksheet

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

Find what the square of 'b' would be equal to

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

A LaTex expression showing b to the power of 2 = 7

A LaTex expression showing b to the power of 2 = 576

A LaTex expression showing b to the power of 2 = 12

A LaTex expression showing b to the power of 2 = 20

A LaTex expression showing b to the power of 2 = 100

A LaTex expression showing b to the power of 2 = 42

Find what the square of 'c' would be equal to

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

A LaTex expression showing c to the power of 2 = 70

A LaTex expression showing c to the power of 2 = 81

A LaTex expression showing c to the power of 2 = 45

A LaTex expression showing c to the power of 2 = 101

A LaTex expression showing c to the power of 2 = 25

A LaTex expression showing c to the power of 2 = 27

Find what the square of 'a' would be equal to

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = ?\\b = 3\\c = 9$

A LaTex expression showing a to the power of 2 = 144

A LaTex expression showing a to the power of 2 = 46

A LaTex expression showing a to the power of 2 = 20

A LaTex expression showing a to the power of 2 = 141

A LaTex expression showing a to the power of 2 = 72

A LaTex expression showing a to the power of 2 = 104

Find what the square of 'b' would be equal to

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

A LaTex expression showing b to the power of 2 = 13

A LaTex expression showing b to the power of 2 = 21

A LaTex expression showing b to the power of 2 = 9

A LaTex expression showing b to the power of 2 = 18

A LaTex expression showing b to the power of 2 = 15

A LaTex expression showing b to the power of 2 = 81

Find what the square of 'c' would be equal to

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

A LaTex expression showing c to the power of 2 = 4

A LaTex expression showing c to the power of 2 = 20

A LaTex expression showing c to the power of 2 = 1

A LaTex expression showing c to the power of 2 = 8

A LaTex expression showing c to the power of 2 = 13

A LaTex expression showing c to the power of 2 = 16

Find what the square of 'b' would be equal to

$A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 3\\b = ?\\c = 5$

A LaTex expression showing b to the power of 2 = 1

A LaTex expression showing b to the power of 2 = 9

A LaTex expression showing b to the power of 2 = 6

A LaTex expression showing b to the power of 2 = 64

A LaTex expression showing b to the power of 2 = 225

A LaTex expression showing b to the power of 2 = 16

Find what the square of 'a' would be equal to

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

A LaTex expression showing a to the power of 2 = 1,296

A LaTex expression showing a to the power of 2 = 32

A LaTex expression showing a to the power of 2 = 82

A LaTex expression showing a to the power of 2 = 110

A LaTex expression showing a to the power of 2 = 65

A LaTex expression showing a to the power of 2 = 169