Pythagorean Equation from Values - Either Missing Length (Squared Values)

Level 1

This math topic focuses on applying the Pythagorean Theorem to solve for missing lengths of a right triangle, given squared values. The problems require calculating the square of one side of a triangle based on the known squared sum of the triangle's sides, emphasizing foundational skills in Pythagoras' theorem. Multiple choice answers are provided for each problem, challenging the student to solve equations involving the operations of addition and finding square roots in the context of geometry. The exercises solidify understanding of these concepts, essential for progressing in more advanced mathematics related to geometry and algebra.

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

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Values - Either Missing Length (Squared Values)

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


Find what the square of 'a' would be equal to

a2+4=16a^2 + 4 = 16

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

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Math worksheet on 'Pythagorean Equation from Values - Either Missing Length (Squared Values) (Level 1)'. Part of a broader unit on 'Pythagoras - Foundations' Learn online: app.mobius.academy/math/units/pythagoras_foundations/
1
Find what the square of 'b' would be equal to
A LaTex expression showing 25 + b to the power of 2 = 64
a A LaTex expression showing b to the power of 2 = 18
b A LaTex expression showing b to the power of 2 = 66
c A LaTex expression showing b to the power of 2 = 52
d A LaTex expression showing b to the power of 2 = 14
e A LaTex expression showing b to the power of 2 = 105
f A LaTex expression showing b to the power of 2 = 39
2
Find what the square of 'b' would be equal to
A LaTex expression showing 9 + b to the power of 2 = 25
a A LaTex expression showing b to the power of 2 = 27
b A LaTex expression showing b to the power of 2 = 6
c A LaTex expression showing b to the power of 2 = 22
d A LaTex expression showing b to the power of 2 = 10
e A LaTex expression showing b to the power of 2 = 64
f A LaTex expression showing b to the power of 2 = 16
3
Find what the square of 'b' would be equal to
A LaTex expression showing 25 + b to the power of 2 = 81
a A LaTex expression showing b to the power of 2 = 20
b A LaTex expression showing b to the power of 2 = 110
c A LaTex expression showing b to the power of 2 = 56
d A LaTex expression showing b to the power of 2 = 196
e A LaTex expression showing b to the power of 2 = 30
f A LaTex expression showing b to the power of 2 = 14
4
Find what the square of 'b' would be equal to
A LaTex expression showing 16 + b to the power of 2 = 49
a A LaTex expression showing b to the power of 2 = 45
b A LaTex expression showing b to the power of 2 = 8
c A LaTex expression showing b to the power of 2 = 60
d A LaTex expression showing b to the power of 2 = 33
e A LaTex expression showing b to the power of 2 = 56
f A LaTex expression showing b to the power of 2 = 12
5
Find what the square of 'b' would be equal to
A LaTex expression showing 9 + b to the power of 2 = 16
a A LaTex expression showing b to the power of 2 = 49
b A LaTex expression showing b to the power of 2 = 13
c A LaTex expression showing b to the power of 2 = 144
d A LaTex expression showing b to the power of 2 = 7
e A LaTex expression showing b to the power of 2 = 2
f A LaTex expression showing b to the power of 2 = 22
6
Find what the square of 'a' would be equal to
A LaTex expression showing a to the power of 2 + 36 = 49
a A LaTex expression showing a to the power of 2 = 169
b A LaTex expression showing a to the power of 2 = 6
c A LaTex expression showing a to the power of 2 = 1
d A LaTex expression showing a to the power of 2 = 13
e A LaTex expression showing a to the power of 2 = 3
f A LaTex expression showing a to the power of 2 = 1,764
7
Find what the square of 'a' would be equal to
A LaTex expression showing a to the power of 2 + 16 = 49
a A LaTex expression showing a to the power of 2 = 40
b A LaTex expression showing a to the power of 2 = 33
c A LaTex expression showing a to the power of 2 = 12
d A LaTex expression showing a to the power of 2 = 45
e A LaTex expression showing a to the power of 2 = 8
f A LaTex expression showing a to the power of 2 = 95