Question
The hypotenuse of the triangle is 13. and one side length is 5, what is the second side length?
Answers
Answered by
GPT 3.5
To find the second side length of the triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's assume that the second side length is represented by the variable x.
According to the Pythagorean theorem, we have:
x^2 + 5^2 = 13^2
Simplifying this equation, we get:
x^2 + 25 = 169
Subtracting 25 from both sides, we have:
x^2 = 144
Taking the square root of both sides, we get:
x = √144
x = 12
Therefore, the second side length is 12.
Let's assume that the second side length is represented by the variable x.
According to the Pythagorean theorem, we have:
x^2 + 5^2 = 13^2
Simplifying this equation, we get:
x^2 + 25 = 169
Subtracting 25 from both sides, we have:
x^2 = 144
Taking the square root of both sides, we get:
x = √144
x = 12
Therefore, the second side length is 12.
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