Question

The lengths of the sides of a triangle are 5 yards, 24 yards, and x yards. The possible range for x is:

a) 19 < x < 29
b) x < 29
c) x > 29
d) 19 < x < 24

Answer 1

The possible range for x in the given triangle is 19 < x < 29 yards.

Step-by-step explanation:

In a triangle, the length of any side must be greater than the difference between the lengths of the other two sides, and less than the sum of the lengths of the other two sides. Using this information, we can determine the possible range for x in the given triangle.

x must be greater than 24 - 5 = 19 yards, as it must be longer than the difference between the lengths of the other two sides.

x must also be less than 24 + 5 = 29 yards, as it must be shorter than the sum of the lengths of the other two sides.

Therefore, the possible range for x is 19 < x < 29 yards.