Point C on line segment BD. Given BD = 5x, BC = 4x, and CD = 4,
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Answer:
1). x = 10 m
2). x = 15 cm
3). x = 5 yd
4). AB = 10 units
Step-by-step explanation:
1). By Pythagoras theorem in the given triangle,
a² + b² = c²
Where 'c' = Hypotenuse
a and b = Legs of the right triangle
By substituting measures of the sides in the formula,
x² = 8² + 6²
x =
x = 10 m
2). By using Pythagoras theorem in this triangle,
x² = 9² + (12)²
x² = 81 + 144
x =
x = 15 cm
3). By Pythagoras theorem,
(13)² = x² + (12)²
169 = x² + 144
169 - 144 = x²
25 = x²
x = 5 yd
4). If BD is a perpendicular bisector of AC,
AD = CD = 6 cm
By Pythagoras theorem in ΔABD,
AB² = BD² + AD²
AB² = 8² + 6²
AB =
AB = 10 units