The side length is 15.2 (15.19671) inches.
If all 3 sides each have a length of 15½ inches, it would be called an Equilateral Triangle
Since the "slices" of an equilateral hexagon are equilateral triangles, the Pythagorean theorem will solve this problem: A squared plus B squared equals C squared, where A and B are the sides at right angle to each other and C is the hypoteneuse (long side). Slice a 10 inch tall equilateral triangle down the middle. The height A is 10 inches; the base B (1/2 of A) is 5 inches. 10 squared equals 100; 5 squared equals 25. Therefore, the length of each side of the equilateral triangle is the square root of 125, or approximately 11.18 inches. This is also the length of the sides of the hexagon in question.
6 squared = 3 squared + x squared if x is the height (altitude) of the triangle 36 = 9+x squared x squared =27 so x = 3 sqrt3 = 5.19615
There is a problem with your question, namely that such a triangle does not exist. An equilateral triangle with sides of length 10 would have a height of 5 * (root 3), which is approx 8.66 (not 7 as the question states). An equilateral triangle of side length 10 inches would have an area of 25*(root 3), which is approx. 43.3 inches2.
is called an equilateral triangle
The perimeter of an equilateral triangle with a side length of 4 inches is 12 inches. Each side of an equilateral triangle is equal in length, so the perimeter is found by multiplying the side length (4 inches) by 3.
By definition, an equilateral triangle has all three sides of equal length! So it is impossible for it to have sides of length 10 inches and 7 inches!
12 inches
2.5 inches
6 inches
The side length is 18.24 (18.23606) inches.
If all 3 sides each have a length of 15½ inches, it would be called an Equilateral Triangle
9 inches
Since the "slices" of an equilateral hexagon are equilateral triangles, the Pythagorean theorem will solve this problem: A squared plus B squared equals C squared, where A and B are the sides at right angle to each other and C is the hypoteneuse (long side). Slice a 10 inch tall equilateral triangle down the middle. The height A is 10 inches; the base B (1/2 of A) is 5 inches. 10 squared equals 100; 5 squared equals 25. Therefore, the length of each side of the equilateral triangle is the square root of 125, or approximately 11.18 inches. This is also the length of the sides of the hexagon in question.
12
15.2 inches.
62.4 sq. in.