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.

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

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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 b=square root of 59
b A LaTex expression showing b=square root of 41
c A LaTex expression showing b=square root of 66
d A LaTex expression showing b=square root of 16
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 b=square root of 388
b A LaTex expression showing b=square root of 96
c A LaTex expression showing b=square root of 217
d A LaTex expression showing b=square root of 338
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 b=square root of 124
b A LaTex expression showing b=square root of 188
c A LaTex expression showing b=square root of 60
d A LaTex expression showing b=square root of 132
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 b=square root of 153
b A LaTex expression showing b=square root of 217
c A LaTex expression showing b=square root of 39
d A LaTex expression showing b=square root of 167
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 b=square root of 100
b A LaTex expression showing b=square root of 92
c A LaTex expression showing b=square root of 156
d A LaTex expression showing b=square root of 28
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 b=square root of 176
b A LaTex expression showing b=square root of 144
c A LaTex expression showing b=square root of 48
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 b=square root of 60
b A LaTex expression showing b=square root of 196
c A LaTex expression showing b=square root of 124
d A LaTex expression showing b=square root of 188
Pythagorean Theorem - Length of Side - Labelled Sides (Radical) (Level 1) - Mobius Math