HomePricing

Pythagorean Theorem - Length of Side - Labelled Sides (Radical) (Level 1)

This math topic focuses on applying the Pythagorean Theorem to find the lengths of sides in right triangles, expressed as square root values. Each problem presents a triangle with labeled sides, and the goal is to determine the length of one or more missing sides using the formula \(a^2 + b^2 = c^2\). These exercises help in understanding and manipulating radical expressions as part of a foundational approach to learning Pythagorean relationships in geometrical contexts.

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

View Unit

Length of Side - Labelled Sides (Radical)

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


Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²

c = 10b = ?a = 6

Pythagorean Theorem - Length of Side - Labelled Sides (Radical) Worksheet

Mobius Math Club logo
Math worksheet on 'Pythagorean Theorem - Length of Side - Labelled Sides (Radical) (Level 1)'. 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 a square root value, based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 40
b A LaTex expression showing square root of 32
c A LaTex expression showing square root of 68
2
Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 59
b A LaTex expression showing square root of 66
c A LaTex expression showing square root of 16
d A LaTex expression showing square root of 41
3
Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 226
b A LaTex expression showing square root of 105
c A LaTex expression showing square root of 258
d A LaTex expression showing square root of 347
4
Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 28
b A LaTex expression showing square root of 44
c A LaTex expression showing square root of 12
5
Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 65
b A LaTex expression showing square root of 97
c A LaTex expression showing square root of 227
6
Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 28
b A LaTex expression showing square root of 156
c A LaTex expression showing square root of 100
7
Find the length of the missing side as a square root value, based on the Pythagorean theorem: a² + b² = c²
An svg image showing a math problem
a A LaTex expression showing square root of 194
b A LaTex expression showing square root of 292
c A LaTex expression showing square root of 130
d A LaTex expression showing square root of 32
e A LaTex expression showing square root of 211