Equilateral Triangles: In mathematics, an equilateral triangle is a triangle in which all of its sides have equal length. So the base is 10. in terms of side length a can be derived directly using the Pythagorean theorem or using trigonometry. Area of triangles. 25sqrt(3) = sqrt(3)/4 * s^2. The theorems. For equilateral triangles h = ha = hb = hc. Right Triangles. (1) Let PO= din what follows. Let’s see what the height of the equilateral triangle. An equilateral triangle is a triangle with all 3 sides the same length. In both methods a by-product is the formation of vesica piscis. An equiangular triangle is a kind of acute triangle, and is always equilateral. ⇒ h 2 = a 2 – (a 2 /4) ⇒ h 2 = (3a 2 )/4. Answer. Let, you are not given