The values of x is 12
What is Pythagoras theorem?
A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.
in ABC
AC²= AB² + BC²
25²= AB² + BC².............(1)
In ABD
AB²= AD² + BD²
AB²= 16² + x²
In BCD
BC²= CD² + BD²
BC²= 9² + x²
Put the values in (1)
25²= 16² + x² + 9² + x²
625 - 337 = 2x²
2x² = 288
x² = 144
x= 12
So, segment =16
segment 2 = 25 -16=9
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