Final answer:
To find the missing side of a right triangle, we can use the Pythagorean theorem. By plugging in the given values b = 5.1m and c = 12.3m, we can find the missing length a to be 11.2m (rounded to the nearest tenth).
Step-by-step explanation:
To find the length of the missing side of a right triangle, we can use the Pythagorean theorem which states that a² + b² = c².
In this case, we are given b = 5.1m and c = 12.3m. We want to find the missing length, which is a.
Plugging in the given values, we have a² + (5.1)² = (12.3)².
Simplifying the equation, we get a² + 26.01 = 151.29.
Subtracting 26.01 from both sides, we have a² = 125.28.
Taking the square root of both sides, we find a = 11.2m (rounded to the nearest tenth).