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Determine the value of ? in the figure below.


 

 Jan 23, 2021
 #1
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By the Pythagorean Theorem, the question mark is sqrt(39 + 25) = sqrt(64) = 8.

 Jan 23, 2021
 #2
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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

 Jan 23, 2021
 #3
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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

 Jan 23, 2021

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