a=5
b=12
c=?
A2+B2=C2
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To find the value of c in the equation A^2 + B^2 = C^2, where a = 5 and b = 12, we can substitute the given values into the equation:
(5)^2 + (12)^2 = C^2
Simplifying the equation:
25 + 144 = C^2
169 = C^2
Taking the square root of both sides of the equation:
√169 = √C^2
13 = C
Therefore, the value of c is 13.
To find the value of c, we can use the Pythagorean theorem formula: A^2 + B^2 = C^2, where A and B represent the known side lengths, and C represents the unknown side length of a right-angled triangle.
In this case, we know that a = 5 and b = 12. So, substituting these values into the formula, we get:
5^2 + 12^2 = C^2
25 + 144 = C^2
169 = C^2
To solve for C, we need to take the square root of both sides of the equation:
√169 = √C^2
13 = C
Therefore, the value of c is 13.
To find the value of `c`, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
Given:
a = 5
b = 12
Using the Pythagorean theorem:
a^2 + b^2 = c^2
Substituting the given values:
5^2 + 12^2 = c^2
Simplifying:
25 + 144 = c^2
169 = c^2
Taking the square root of both sides:
c = √169
Evaluating the square root:
c = 13
Therefore, `c` is equal to 13.