A right triangle has a hypotneuse of 21 an adjacent of 19 and an oppisite of x
To find the length of the opposite side (x) in a right triangle with a hypotenuse of 21 and an adjacent side of 19, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the sum of the squares of the two shorter sides (adjacent and opposite) is equal to the square of the hypotenuse.
So, using the formula:
a^2 + b^2 = c^2
where a and b are the shorter sides (adjacent and opposite) and c is the hypotenuse, we have:
19^2 + x^2 = 21^2
361 + x^2 = 441
To isolate x^2, we subtract 361 from both sides of the equation:
x^2 = 441 - 361
x^2 = 80
Finally, to find the length of the opposite side (x), we take the square root of both sides:
x = √80
x ≈ 8.944
Therefore, the length of the opposite side (x) in this right triangle is approximately 8.944.