#1**0 **

7 / sin30º = 14

7 / 14 = 14 / s ( "s" is a side of a largest triangle)

x = sqrt(s^{2} + s^{2})

x = 7√32

Guest Mar 26, 2021

#2**+1 **

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**

ArithmeticBrains1234 Mar 27, 2021