Answer: To find the length of side W (w) in the given triangle, we can use the Pythagorean theorem since we know that ∠W is a right angle.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
So, we have:
w^2 = u^2 + v^2
Substituting the given values:
w^2 = (1.7 inches)^2 + (6.5 inches)^2
w^2 = 2.89 + 42.25
w^2 = 45.14
Taking the square root of both sides to isolate w:
w = √45.14
Calculating this square root, we find:
w ≈ 6.71 inches
Therefore, the length of side W (w) in the triangle ΔUVW is approximately 6.71 inches, rounded to the nearest tenth of an inch.