This math topic guides learners through solving for the length of the hypotenuse in a right triangle using the Pythagorean theorem. Specifically, it employs the standard Pythagorean equation \(a^2 + b^2 = c^2\), where 'c' denotes the hypotenuse. Participants are given the integer values of the other two sides ('a' and 'b'), and they need to utilize these values to determine the correct integer value of 'c'. Each problem presents a scenario with given values and multiple choice answers, testing both the comprehension and application of the Pythagorean theorem in basic geometrical contexts.

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Pythagorean Equation from Variables - Length of Hypotenuse (Integer) Worksheet

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Math worksheet on 'Pythagorean Equation from Variables - Length of Hypotenuse (Integer) (Level 1)'. Part of a broader unit on 'Pythagoras - Foundations' Learn online: app.mobius.academy/math/units/pythagoras_foundations/
1
Find the value of 'c' in this equation
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 3\\b = 4\\c = ?
a
c = 3
b
c = 6
c
c = 5
d
c = 7
e
c = 4
f
c = 1
2
Find the value of 'c' in this equation
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 5\\b = 12\\c = ?
a
c = 17
b
c = 16
c
c = 15
d
c = 11
e
c = 14
f
c = 13
3
Find the value of 'c' in this equation
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 12\\b = 5\\c = ?
a
c = 17
b
c = 13
c
c = 15
d
c = 60
e
c = 11
f
c = 16
4
Find the value of 'c' in this equation
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 8\\b = 6\\c = ?
a
c = 5
b
c = 7
c
c = 6
d
c = 13
e
c = 10
f
c = 48
5
Find the value of 'c' in this equation
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 6\\b = 8\\c = ?
a
c = 48
b
c = 7
c
c = 10
d
c = 8
e
c = 6
f
c = 11
6
Find the value of 'c' in this equation
A LaTex expression showing a to the power of 2 + b to the power of 2 = c to the power of 2 \\a = 4\\b = 3\\c = ?
a
c = 8
b
c = 2
c
c = 12
d
c = 1
e
c = 5
f
c = 7
Pythagorean Equation from Variables - Length of Hypotenuse (Integer) (Level 1) - Mobius Math