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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Pythagorean Equation from Values - Either Missing Length (Radical)
1
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
2
Find the radical (square root) for the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 4 = 64
a A LaTex expression showing a = square root of 60
b A LaTex expression showing a = square root of 124
c A LaTex expression showing a = square root of 68
d A LaTex expression showing a = square root of 188
3
Find the radical (square root) for the value of 'b' in this equation
A LaTex expression showing 25 + b to the power of 2 = 36
a A LaTex expression showing b = square root of 83
b A LaTex expression showing b = square root of 47
c A LaTex expression showing b = square root of 97
d A LaTex expression showing b = square root of 11
e A LaTex expression showing b = square root of 61
4
Find the radical (square root) for the value of 'b' in this equation
A LaTex expression showing 4 + b to the power of 2 = 36
a A LaTex expression showing b = square root of 76
b A LaTex expression showing b = square root of 104
c A LaTex expression showing b = square root of 32
d A LaTex expression showing b = square root of 68
5
Find the radical (square root) for the value of 'b' in this equation
A LaTex expression showing 25 + b to the power of 2 = 49
a A LaTex expression showing b = square root of 172
b A LaTex expression showing b = square root of 24
c A LaTex expression showing b = square root of 73
6
Find the radical (square root) for the value of 'a' in this equation
A LaTex expression showing a to the power of 2 + 9 = 49
a A LaTex expression showing a = square root of 107
b A LaTex expression showing a = square root of 89
c A LaTex expression showing a = square root of 40
d A LaTex expression showing a = square root of 138
e A LaTex expression showing a = square root of 58
7
Find the radical (square root) for the value of 'b' in this equation
A LaTex expression showing 16 + b to the power of 2 = 25
a A LaTex expression showing b = square root of 9
b A LaTex expression showing b = square root of 59
c A LaTex expression showing b = square root of 34
d A LaTex expression showing b = square root of 66
8
Find the radical (square root) for the value of 'b' in this equation
A LaTex expression showing 4 + b to the power of 2 = 16
a A LaTex expression showing b = square root of 12
b A LaTex expression showing b = square root of 28
c A LaTex expression showing b = square root of 36
d A LaTex expression showing b = square root of 44