Answer:
x = 7
Step-by-step explanation:
We can tell by looking at this triangle that this is a 45 45 90 triangle.
In this situation, the hypotenuse is [tex]x\sqrt{2}[/tex] and the legs are both [tex]x[/tex].So if we look at the hypotenuse, we can tell that x, or the leg of the triangle, is 7.
45 45 90 triangles: This is a special triangle in which the angles of the triangle are 45 45 and 90 degrees. This means that the hypotenuse will be [tex]x\sqrt{2}[/tex] and the legs of the triangle will be [tex]x[/tex]. You can usually use the Pythagorean theorem to solve the missing sides.
