HomePricing

Pythagorean Theorem - Length of Hypotenuse - Labelled Sides (Equation) (Level 2)

This topic focuses on the application of the Pythagorean Theorem to find the length of the hypotenuse or a missing side of a right triangle. Each problem presents different sets of the two sides of the triangle, requiring the computation of the third side using the theorem \(a^2 + b^2 = c^2\). The students are tasked with solving expressions using squares and square roots to find the correct length of the missing side, in different variations, which supports strengthening their understanding and manipulation of algebraic equations related to geometric concepts.

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

View Unit

Length of Hypotenuse - Labelled Sides (Equation)

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


Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²

c = ?b = 9a = 11

Pythagorean Theorem - Length of Hypotenuse - Labelled Sides (Equation) Worksheet

Mobius Math Club logo
Math worksheet on 'Pythagorean Theorem - Length of Hypotenuse - Labelled Sides (Equation) (Level 2)'. Part of a broader unit on 'Pythagoras - Intro' Learn online: app.mobius.academy/math/units/pythagoras_intro/
1
Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing 10 to the power of 2 + 6 to the power of 2
b A LaTex expression showing square root of 10 to the power of 2 + 6 to the power of 2
c A LaTex expression showing 10 to the power of 2 - 6 to the power of 2
d A LaTex expression showing square root of 10 to the power of 3 + 6 to the power of 3
2
Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing 9 to the power of 2 - 10 to the power of 2
b A LaTex expression showing square root of 9 to the power of 2 + 10 to the power of 2
c A LaTex expression showing square root of 9 to the power of 2 - 10 to the power of 2
3
Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 11 to the power of 2 + 7 to the power of 2
b A LaTex expression showing 11 to the power of 2 + 7 to the power of 2
c A LaTex expression showing square root of 11 to the power of 2 - 7 to the power of 2
d A LaTex expression showing 11 to the power of 2 - 7 to the power of 2
4
Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing 6 to the power of 2 + 9 to the power of 2
b A LaTex expression showing 6 to the power of 2 - 9 to the power of 2
c A LaTex expression showing square root of 6 to the power of 2 + 9 to the power of 2
5
Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing 11 to the power of 2 - 8 to the power of 2
b A LaTex expression showing square root of 11 to the power of 2 + 8 to the power of 2
c A LaTex expression showing 11 to the power of 2 + 8 to the power of 2
d A LaTex expression showing square root of 8 to the power of 2 - 11 to the power of 2
6
Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing 8 to the power of 2 - 6 to the power of 2
b A LaTex expression showing square root of 8 to the power of 2 - 6 to the power of 2
c A LaTex expression showing square root of 8 to the power of 2 + 6 to the power of 2
d A LaTex expression showing 8 to the power of 2 + 6 to the power of 2
7
Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing 7 to the power of 2 - 11 to the power of 2
b A LaTex expression showing square root of 7 to the power of 2 + 11 to the power of 2
c A LaTex expression showing 7 to the power of 2 + 11 to the power of 2