The values of x is 120.
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
289²= AB² + BC²........................(1)
In ABD
AB²= AD² + BD²
AB²= 225² + x²
In BCD
BC²= CD² + BD²
BC²= 64² + x²
Put the values in (1)
289²= 225² + x² + 64² + x²
2x² = 28800
x= 120
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