Answer:
9.9 to the nearest tenth
Step-by-step explanation:
The given figure is a right triangle where the longest side is the hypotenuse
If we let c represent the hypotenuse length, a and b the other two sides, the Pythagorean theorem states
c² = a² + b²
or rewriting
a² + b² = c²
Here we are given the hypotenuse length as 42.8 (c) and one of the shorter sides as 11(call it a)
Therefore we get
11² + b² = 14.8²
121 + b² = 219.04
b² = 219.04 - 121 = 98.04
b = √98.04 ≈ 9.9 to the nearest tenth
