in the right triangle shown, ∠a=30° and ab = 12√3 how long is ac
Mathematics · High School · Thu Feb 04 2021
Answered on
∠A=30° and AB = 12√3 .
Case 1: AB is the base for ∠A of the right triangle (as shown in figure 1). Hence, AC is 24 unit long
In your case, AB, which is the hypotenuse, is 12√3. Since AB corresponds with the side opposite the 30° angle, AC must be half of AB, because AC is the shortest side in this 30°-60°-90° right triangle.
So we can calculate AC as follows:
AC = AB / 2 AC = (12√3) / 2 AC = 6√3
Therefore, the length of AC in the right triangle is 6√3.