Use the pythagorean Theorem to find the missing side length when a=12 and c=13
b=5
Assuming the missing side is not the hypotenuse, then
b²=13²-12²=169-144=25
=>
b=√25=5
To find the missing side length using the Pythagorean Theorem, we need to apply the formula:
a^2 + b^2 = c^2
Here, we are given that a = 12 and c = 13. We need to find the length of side b.
Substituting the given values into the formula:
12^2 + b^2 = 13^2
Simplifying:
144 + b^2 = 169
Moving 144 to the other side of the equation:
b^2 = 169 - 144
b^2 = 25
Taking the square root of both sides:
b = √25
b = 5
Therefore, the missing side length (b) is 5.
To use the Pythagorean Theorem to find the missing side length, we need to recall the formula:
a^2 + b^2 = c^2
In this case, we are given a = 12 and c = 13, and we want to find the missing side length, which we'll call b.
We can substitute the given values into the formula:
12^2 + b^2 = 13^2
Simplifying, we have:
144 + b^2 = 169
To solve for b^2, we need to isolate it on one side of the equation. We can do this by subtracting 144 from both sides:
b^2 = 169 - 144
b^2 = 25
Finally, to find b, we take the square root of both sides:
b = √25
Therefore, b = 5. So, the missing side length is 5.