Answer:
a = 13.8
(missing length of triangle = 13.8 meters)
Step-by-step explanation:
The side lengths of a triangle can be related using the Pythagorean Theorem;
a² + b² = c²
where
a = one side length
b = other side length
c = hypotenuse (long side --across from 90° angle)
So, by plugging our values into the Pythagorean Theorem, we can solve for a:
a = unknown
b = 18.4
c = 23
a² + b² = c²
a² + 18.4² = 23²
a² + 338.56 = 539
- 338.56 - 338.56 {subtract 338.56 from both sides to isolate a}
a² = 190.44
√a² = √190.44
a = 13.8
so, the missing length of the triangle is 13.8 m
hope this helps!!
