Final answer:
To determine the length of the missing sides in the triangle, we can use the Pythagorean theorem. In this case, since we have one angle measuring 110 degrees, we will have a right triangle. So we can use the Pythagorean theorem to find the length of the missing side.
Step-by-step explanation:
To determine the length of the missing sides in the triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, since we have one angle measuring 110 degrees, we will have a right triangle. So we can use the Pythagorean theorem to find the length of the missing side.
We have the lengths of the two adjacent sides, which are 3 inches and 5.5 inches. Let's call the missing side 'c'. So according to the theorem, we have:
a² + b² = c²
Substituting the values we have:
3² + 5.5² = c²
Simplifying:
9 + 30.25 = c²
39.25 = c²
Taking the square root of both sides to find 'c', we get:
c = √39.25 ≈ 6.26 inches