Length of Side (Equation) (Level 1)

This math topic focuses on applying the Pythagorean Theorem to calculate the lengths of missing sides in right triangles. Participants are tasked with finding the correct equation to determine missing side lengths using given side measurements. Each problem provides a triangle diagram and multiple choice answers featuring various algebraic equations representing potential calculations. These exercises serve as an introductory exploration of using the Pythagorean Theorem for practical geometry problems, enhancing understanding of triangle properties and algebraic manipulation.

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

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Pythagorean Theorem - Length of Side (Equation) Worksheet

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Math worksheet on 'Pythagorean Theorem - Length of Side (Equation) (Level 1)'. Part of a broader unit on 'Pythagoras - Practice' Learn online: app.mobius.academy/math/units/pythagoras_practice/
1
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing r=6 to the power of 2 + 9 to the power of 2
b A LaTex expression showing r=square root of 9 to the power of 2 - 6 to the power of 2
c A LaTex expression showing r=6 to the power of 2 - 9 to the power of 2
2
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing z=square root of 6 to the power of 2 + 3 to the power of 2
b A LaTex expression showing z=3 to the power of 2 + 6 to the power of 2
c A LaTex expression showing z=3 to the power of 2 - 6 to the power of 2
d A LaTex expression showing z=square root of 6 to the power of 2 - 3 to the power of 2
3
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing d=square root of 3 to the power of 2 + 2 to the power of 2
b A LaTex expression showing d=square root of 3 to the power of 2 - 2 to the power of 2
c A LaTex expression showing d=2 to the power of 2 + 3 to the power of 2
d A LaTex expression showing d=square root of 2 to the power of 3 + 3 to the power of 3
e A LaTex expression showing d=2 to the power of 2 - 3 to the power of 2
4
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing r=square root of 4 to the power of 2 - 2 to the power of 2
b A LaTex expression showing r=2 to the power of 2 + 4 to the power of 2
c A LaTex expression showing r=2 to the power of 2 - 4 to the power of 2
d A LaTex expression showing r=square root of 4 to the power of 2 + 2 to the power of 2
5
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing r=square root of 3 to the power of 3 + 10 to the power of 3
b A LaTex expression showing r=square root of 10 to the power of 2 - 3 to the power of 2
c A LaTex expression showing r=square root of 3 to the power of 2 - 10 to the power of 2
d A LaTex expression showing r=3 to the power of 2 - 10 to the power of 2
6
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing z=5 to the power of 2 - 6 to the power of 2
b A LaTex expression showing z=5 to the power of 2 + 6 to the power of 2
c A LaTex expression showing z=square root of 5 to the power of 3 + 6 to the power of 3
d A LaTex expression showing z=square root of 6 to the power of 2 - 5 to the power of 2
7
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing m=square root of 10 to the power of 2 + 6 to the power of 2
b A LaTex expression showing m=6 to the power of 2 - 10 to the power of 2
c A LaTex expression showing m=square root of 10 to the power of 2 - 6 to the power of 2
d A LaTex expression showing m=square root of 6 to the power of 3 + 10 to the power of 3
e A LaTex expression showing m=6 to the power of 2 + 10 to the power of 2