Question

In $△$ ABC , $\overline{AB}$ =8.5 cm and $\overline{BC}$ = 9 cm. Which of the following is/are the correct information needed to construct the triangle?

• A. $\angle$ C = 49°
• B. $\angle$ A = 95°
• C. $\overline{AC}$ =5 cm
• D. $\angle$ B = 36°

Answer 1

Answer: (C), (D)

$\angle$ B = 36°

1) Using SAS criteria, we can create $△$ ABC as two sides $\overline{AB}$, $\overline{BC}$ and included angle $\angle$ B are given.
2) Using SSS criteria, we can create $△$ ABC as three sides $\overline{AB}$, $\overline{BC}$ and $\overline{AC}$ are given.