Pythagorean Theore

Either Missing Length (Radical) (Level 1)

This math topic covers the Pythagorean Theorem focusing on finding the missing length in simple 2D triangles and extends to a 3D introductory context. The problems require calculating the length of a missing side represented as the square root of a number, providing real-world applications of this theorem. Each question is accompanied by multiple choice answers, presented as different square root values, which strengthens understanding of radical expressions and reinforces practical solving skills in geometry.

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

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Either Missing Length (Radical)

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

10

Find the length of the missing side as a square root value, based on the Pythagorean theorem

9?2

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Teaching Transcript

🎙️

Let's solve the Pythagorean equation for either the leg or the hypotenuse

First we need to know which we are dealing with. If the squared terms are added, that's the leg side.

For the leg side, we can isolate the variable, and then square and simplify

Now you can take the square root of both sides. 'A' will be root 9, or 3. 'C' is root 25, or 5

Pythagorean Theorem - Either Missing Length (Radical) Worksheet

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Math worksheet on 'Pythagorean Theorem - Either Missing Length (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
An svg image showing a math problem
a A LaTex expression showing square root of 40
b A LaTex expression showing square root of 44
c A LaTex expression showing square root of 32
2
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 64
b A LaTex expression showing square root of 32
c A LaTex expression showing square root of 0
3
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 57
b A LaTex expression showing square root of 9
c A LaTex expression showing square root of 41
4
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 291
b A LaTex expression showing square root of 91
c A LaTex expression showing square root of 309
d A LaTex expression showing square root of 209
e A LaTex expression showing square root of 191
5
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 13
b A LaTex expression showing square root of 121
c A LaTex expression showing square root of 85
6
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 21
b A LaTex expression showing square root of 54
c A LaTex expression showing square root of 29
7
Find the length of the missing side as a square root value, based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 134
b A LaTex expression showing square root of 85
c A LaTex expression showing square root of 13