Answer: The length of AC should be between 5 inches and 25 inches
Step-by-step explanation:
Jose in this problem draws a triangle, AABC.
We know the length of two sides of the triangle:
AB = 10 inches
BC = 15 inches
The length of the third side in a generic triangle can be calculated using the cosine theorem: where
a, b, c are the three sides
is the angle opposite to side
Looking at the formula, we observe that:
- The maximum value for is obtained for , so that . In this case, the length of the missing side (AC, in this case) is
So, the length of AC must be between 5 and 25 inches.
