In the right triangle shown, A = 30° and AC = 6.
1 answer:
Answer:
AB = 6√3
Step-by-step explanation:
The triangle is a 30°, 60°, 90° triangle, and therefore side AC is equivalent to x√3, where x = length of the smallest side.
To find AB, we must first find x by dividing 6 by √3.
Therefore, x, in this case side BC, is equivalent to 3√3
Side AB, hour hypotenuse, is equal to 2x:
AB =
You might be interested in
Answer:
x = 1 or x = ± i
Step-by-step explanation:
Note the sum of the coefficients
1 - 1 + 1 - 1 = 0
This indicates that x = 1 is a root, thus (x - 1) is a factor
Using long division or synthetic division, then
x³ - x² + x - 1 = (x - 1)(x² + 1), thus
(x - 1)(x² + 1) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± = ± i
