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Pythagorean Theorem - Either Missing Length (Equation) (Level 2)

This math topic focuses on applying the Pythagorean theorem to find the length of a missing side in right triangles. It provides multiple questions where students are required to set up and solve equations using the theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Each question presents a different triangle and asks for the calculation of a side’s length, reinforcing the theorem's concept through varied examples. The exercise may include checking the validity of provided expressions for these calculations.

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Either Missing Length (Equation)

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Find the length of the missing side as an equation based on the Pythagorean theorem

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Pythagorean Theorem - Either Missing Length (Equation) Worksheet

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Math worksheet on 'Pythagorean Theorem - Either Missing Length (Equation) (Level 2)'. Part of a broader unit on 'Pythagoras - Practice' Learn online: app.mobius.academy/math/units/pythagoras_practice/
1
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 11 to the power of 3 + 11 to the power of 3
b A LaTex expression showing square root of 11 to the power of 2 + 11 to the power of 2
c A LaTex expression showing 11 to the power of 2 - 11 to the power of 2
d A LaTex expression showing square root of 11 to the power of 2 - 11 to the power of 2
2
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing 11 to the power of 2 - 8 to the power of 2
b A LaTex expression showing 11 to the power of 2 + 8 to the power of 2
c A LaTex expression showing square root of 11 to the power of 2 + 8 to the power of 2
3
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 10 to the power of 2 + 6 to the power of 2
b A LaTex expression showing 10 to the power of 2 - 6 to the power of 2
c A LaTex expression showing 10 to the power of 2 + 6 to the power of 2
4
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing 8 to the power of 2 - 6 to the power of 2
b A LaTex expression showing square root of 8 to the power of 2 + 6 to the power of 2
c A LaTex expression showing square root of 8 to the power of 3 + 6 to the power of 3
d A LaTex expression showing square root of 8 to the power of 2 - 6 to the power of 2
5
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 7 to the power of 2 - 11 to the power of 2
b A LaTex expression showing 7 to the power of 2 - 11 to the power of 2
c A LaTex expression showing 7 to the power of 2 + 11 to the power of 2
d A LaTex expression showing square root of 7 to the power of 2 + 11 to the power of 2
6
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing square root of 9 to the power of 2 + 11 to the power of 2
b A LaTex expression showing 9 to the power of 2 - 11 to the power of 2
c A LaTex expression showing 9 to the power of 2 + 11 to the power of 2
7
Find the length of the missing side as an equation based on the Pythagorean theorem
An svg image showing a math problem
a A LaTex expression showing 11 to the power of 2 - 6 to the power of 2
b A LaTex expression showing 11 to the power of 2 + 6 to the power of 2
c A LaTex expression showing square root of 6 to the power of 2 - 11 to the power of 2
d A LaTex expression showing square root of 11 to the power of 2 + 6 to the power of 2