so for the length of the unknown side of the following right triangle. Side AB is 17 side BC is 22. Side AC is the hypotenuse
To find the length of the unknown side of the right triangle, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (side AC) is equal to the sum of the squares of the other two sides (sides AB and BC).
So, we can set up the equation as follows:
AC^2 = AB^2 + BC^2
Plugging in the given values:
AC^2 = 17^2 + 22^2
Simplifying:
AC^2 = 289 + 484
AC^2 = 773
To find the length of side AC, we take the square root of both sides:
AC = √773
AC is approximately equal to 27.82
To find the length of the unknown side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
In this case, side AC is the hypotenuse and has a length of 22, and side AB has a length of 17. Let's call the length of the unknown side x.
According to the Pythagorean theorem, we have:
AC^2 = AB^2 + BC^2
Substituting the known values:
22^2 = 17^2 + x^2
484 = 289 + x^2
Subtracting 289 from both sides:
195 = x^2
Taking the square root of both sides to solve for x:
√195 = x
The length of the unknown side is approximately equal to the square root of 195, which is about 13.928.