based on the diagram, which expresses all possible lengths of segment ab?\nab = 25\n27 < ab < 81\nab =…
based on the diagram, which expresses all possible lengths of segment ab?\nab = 25\n27 < ab < 81\nab = 85\nab< 27 or ab > 81
Answer
Answer:
B. 27 < AB < 81
Explanation:
Step 1: Apply triangle inequality theorem
The sum of two sides must exceed the third side.
Step 2: Calculate lower bound
$|54 - 27| = 27$, so $AB > 27$.
Step 3: Calculate upper bound
$54 + 27 = 81$, so $AB < 81$.
Step 4: Combine inequalities
Resulting in $27 < AB < 81$.