The distance between mirror A and mirror C is,: AC = 96, BC=72, AB =120.
<h3>Distance</h3>
AC = x
BC = x- 24
AB = x + 24
<h3>Pythagorean theorem</h3>
AB2 = AC2 + BC2
or ( x + 24 )²= x² + ( x - 24 )²
x² + 48 x + 576 = x² + x² - 48x + 576
96 x = x²
x (96 - x ) = 0
x= 96
Hence,
AC = 96
BC = 96-24=72
AB = 96+24=120
Therefore the distance between mirror A and mirror C is,: AC = 96, BC=72, AB =120.
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