The value of x in the diagram if Segment BD bisects segment AC to the nearest tenth is 7.6.
What is the value of x?
From ∆ABD
c² = a² + b²
16² = 5² + b²
16² - 5² = b²
b² = 256 - 25
b² = 231
b = √231
b = 15.2
So,
from ∆CBD
c² = a² + b²
17² = 15.2² + x²
17² - 15.2² = x²
289 - 231.04 = x²
x² = 57.96
x = √57.96
x = 7.6
Therefore, x equals 7.6