PLEASE ANSWER ASAP FOR BRAINLEST Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
f. 10 inches Yes : No

Step-by-step explanation:

The length of AC should be between 5 inches and 25 inches

Jose in this problem draws a triangle, ABC.

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

- The minimum value for  is obtained for , for which , so in this case the length of AC is

So, the length of AC must be between 5 and 25 inches.

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