A RIGHT TRIANGLE HAS A HEIGHT OF 19 AND A hypotenusE OF 21 WHAT IS THE BASE FOR X SHOW ALL WORK IN SIMPLE STEPS ONLY!!!!!
To find the base of the right triangle, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Let's represent the length of the base as "x".
Using the Pythagorean theorem, we can write the equation:
x^2 + 19^2 = 21^2
Simplifying, we have:
x^2 + 361 = 441
Subtracting 361 from both sides:
x^2 = 441 - 361
x^2 = 80
To solve for x, we take the square root of both sides:
√(x^2) = √80
x = √80
Simplifying the square root, we have:
x ≈ 8.944
Therefore, the base of the right triangle is approximately 8.944.