Answer: 9.8
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem to solve.
The Pythagorean theorem is: a² + b² = c² where a and b are the legs of the triangle and c is the hypotenuse (longest side, across from the right angle).
(DF)² + (FE)² = (DE)²
10² + d² = 14²
100 + d² = 196
100 - 100 + d² = 196 - 100
d² = 96
d ≈ 9.8 (rounded to one decimal place)
