This math topic practices solving for missing lengths in right triangles using the Pythagorean theorem. Specifically, it focuses on isolating and calculating the radical (square root) values of sides given the sum of the squares of the other two sides in a right triangle equation format. The problems presented in varying complexity levels provide multiple-choice answers, which require students to select the correct radical value after calculating from rearranged Pythagorean equations. This forms part of introductory concepts to understanding Pythagoras' theorem.

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Pythagorean Equation from Values - Either Missing Length (Radical) Worksheet

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Math worksheet on 'Pythagorean Equation from Values - Either Missing Length (Radical) (Level 1)'. Part of a broader unit on 'Pythagoras - Foundations' Learn online: app.mobius.academy/math/units/pythagoras_foundations/
1
Find the radical (square root) for the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 36 = 81
a A LaTex expression showing a = square root of 207
b A LaTex expression showing a = square root of 126
c A LaTex expression showing a = square root of 45
2
Find the radical (square root) for the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 16 = 25
a A LaTex expression showing a = square root of 9
b A LaTex expression showing a = square root of 59
c A LaTex expression showing a = square root of 41
d A LaTex expression showing a = square root of 91
3
Find the radical (square root) for the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 16 = 49
a A LaTex expression showing a = square root of 163
b A LaTex expression showing a = square root of 114
c A LaTex expression showing a = square root of 131
d A LaTex expression showing a = square root of 33
4
Find the radical (square root) for the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 9 = 81
a A LaTex expression showing a = square root of 153
b A LaTex expression showing a = square root of 72
c A LaTex expression showing a = square root of 234
5
Find the radical (square root) for the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 25 = 36
a A LaTex expression showing a = square root of 47
b A LaTex expression showing a = square root of 133
c A LaTex expression showing a = square root of 11
d A LaTex expression showing a = square root of 83
6
Find the radical (square root) for the value of 'b' in this equation
A LaTex expression showing 9 + b to the power of 2 = 49
a A LaTex expression showing b = square root of 156
b A LaTex expression showing b = square root of 138
c A LaTex expression showing b = square root of 58
d A LaTex expression showing b = square root of 40
7
Find the radical (square root) for the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 36 = 49
a A LaTex expression showing a = square root of 13
b A LaTex expression showing a = square root of 62
c A LaTex expression showing a = square root of 111