Question

ABC is an equilateral of side ‘a’. Its area will be…​

Answer 1

Answer:

17

Step-by-step explanation:

Answer 2

Answer:

By chopping it into two 30°-60° right triangles see that half the base is a2 and so the altitude is (a2)3–√ , and the area is the product of those, so it is: (a24)3–√ .

Step-by-step explanation:

Label each side a. Now, draw a line from the top vertex down to the middle of the bottom side. Since the triangle is isosceles also, you have created two right triangles. Each one has sides a, a/2, and a shared missing side. By the Pythagorean Theorem, this missing side is the square root of 3/4a^2 , or a/2 times the square root of 3. We now have the height of the equilateral triangle. Thus, the area is a^2 over 4 times the square root of 3.