Answer:
√155
Step-by-step explanation:
The pythagoream theorem states:
a² + b² = c²
('a' being one side/leg of the triangle)
('b' being other side/leg of triangle)
('c' being the hypotenuse of the triangle)
[hypotenuse = side of the triangle across from 90° angle]
[the longest side of the triangle, not connected to a 90° angle]
so, we should consider what our triangle's measurements are. We know that the hypotenuse (c) is 18, and that one side (a) is 13.
If we plug this into the phythagorean theorem:
a² + b² = c²
13² + b² = 18² [replace a and c]
169 + b² = 324 [find actual values of a and c]
- 169 - 169 [subtract to isolate b]
b² = 155
√b² = √155
b = √155
So, the triangle leg "b" (in this case, the side labeled "x") = √155
