contestada

PLEASE HELP I WILL GIVE BRAINLIEST IF ANSWER IS CORRECT!!!
An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown. Which best describes the range of possible values for the third side of the triangle?
x < 12.5, x > 18.9
12.5 < x < 18.9
x < 6, x > 26
6 < x < 26

Respuesta :

10 + 16 = 26
If the third side is the shortest, it has to be at least 16 - 10 = 6

6 < x < 26
thewisestudent9

Hey!

Hope this helps...

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To find any missing length of a triangle, you use the following formula:

a^2 + b^2 = c^2

And now you substitute the given sides for A and B...

10^2 + 16^2 = c^2

100 + 256 = c^2

c^2 = 356

sqrt(c^2) = sqrt(356)

c ~ 18.8679623


So...

The correct answer would be: B.) 12.5 < x < 18.9