Find the missing side length. round to the nearest tenth if needed. 11.7 is incorrect!

Hello from MrBillDoesMath!

10.2

Discussion:

Let the length of the missing side = "s" Applying the Pythagorean theorem to this right triangle gives:

4^2 + s^2 = 11^2    =>

16 + s^2 = 121        =>             ( 4*4 = 16, 11*11 = 121)

16 - 16  + s^2 = 121 - 16 =>     (subtract 16 from both sides)

s^2 = 105 =>

x = sqrt (105)

which is approximately 10.2

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MrB

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according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: