Question

Which of the following informations are applicable for constructing a triangle using ASA criteria?

• A. $△$ ABC ,with $\angle$ A = 75°,$\angle$ B = 55° and $\overline{AB}$ =4 cm
• B. $△$ EFG ,with $\angle$ E = 80°,$\angle$ G = 25° and $\overline{EF}$ =7 cm
• C. $△$ XYZ ,right angled at $\angle$ X ,$\angle$ Y = 40° and $\overline{XY}$ =12 cm
• D. Isosceles triangle $△$ PQR , with base $\overline{PQ}$ = 5 cm and $\angle$ P = 65°

Answer 1

Answer: (A), (C), (D)

The correct options are
A $△$ ABC ,with $\angle$ A = 75°,$\angle$ B = 55° and $\overline{AB}$ =4 cm
C $△$ XYZ ,right angled at $\angle$ X ,$\angle$ Y = 40° and $\overline{XY}$ =12 cm
D Isosceles triangle $△$ PQR , with base $\overline{PQ}$ = 5 cm and $\angle$ P = 65°

According to ASA criteria, we can construct a triangle if measurements of any two angles and the included side are given.