Determine the value of ? in the figure below.
By the Pythagorean Theorem, the question mark is sqrt(39 + 25) = sqrt(64) = 8.
The VERTICAL line (via pythag theorem) = sqrt (5^2 - 1^2 ) = sqrt 24
then use pythag theorem on the larger triangle
(sqrt24)^2 + 5^2 = ?2
24 + 25 = ?2
49 = ?2 then ? = 7 units
The straight line would be 5^2 - 1^2 = 24, but then you have to sqrt it which gives √24, and the ? mark side is 5^2 + √24^2 = 49, and then sqrt, which gives 7
