7 / sin30º = 14
7 / 14 = 14 / s ( "s" is a side of a largest triangle)
x = sqrt(s2 + s2)
x = 7√32
+91 There are 3 triangles in the diagram.
The second smallest triangle has a 90° and 30°, meaning the last angle is 60°; thus the triangle is a 30-60-90 triangle.
The smallest triangle is a 30-60-90 triangle as it has a 90° angle, and a 90 - 60 = 30° angle. The last angle is therefore 60°, meaning the triangle is also a 30-60-90 triangle.
The large triangle has a 90° and 45° angle, meaning the last angle is 45°, indicating a 45-45-90 triangle.
The side opposite of the 30° angle is:
7*2 = 14
The vertical side of the largest triangle is:
14*2 = 28
Therefore x =
28 * √2 = 28√2
