Answer:
6 < x < 18.86
Explanation:
- An acute angle is less than 90° and greater that 0°, i.e. 0 < angle < 90°.
- The lower bound of the third side is when the angle approaches to zero, this is both sides 10 and 16 almost overlap.
Under this condition the lenght of the third side approaches (never gets to) 16 - 10 = 6.
From this you conclude x > 6.
- The upper bound of the third side is when the angle approaches 90°, this is the triangle is almost a right triangle. In this case, the upper limit of x is the value of the hypotenuse of a triangle withs legs 10 and 16.
=> x^2 < 10^2 + 16^2
=> x^2 < 100 + 256
=> x^ 2 < 356
=> x < 18.86
This was the first question that appeared when i opened brainly so here you go Lol, hope this helps, doubt it does but thats the math I maybe wrong though- sorry if this is wrong
