BD = 12 ft
AB is 15 ft
Explanation:
The two triangles are right angled, so we would apply pythagoras' thorem:
Hypotenuse² = opposite² + adjacent²
First we would go for the second triangle as two of the sides are given.
Hypotenuse = 14, adjacent = 7, opposite =BD
14² = BD² + 7²
196 = BD² + 49
BD² = 196 - 49 = 147
BD = √147 = 12.12 ft
To the nearest foot, BD = 12 ft
1st triangle:
Hypotenuse = AB,
opposite = BD = √147
adjacent = 9 ft
AB² = (√147)² + 9²
AB² = 147 + 81 = 228
AB = √228 = 15.0997
To the nearest foot, AB is 15 ft
