Question

Decide whether it is possible for a triangle to have the three angle measures or three side lengths given.

If it is possible, then decide whether all such triangles are congruent.
Measurements
Description
14 m, 22 m, 40 m
Triangle possible
Triangles with these measurements
Choose one
No triangle possible
9 cm, 3 cm, 7 cm
Triangle possible
Triangles with these measurements
Choose one
No triangle possible
51°, 15°, 24°
Triangle possible
Triangles with these measurements
Choose one
No triangle possible
Triangle possible
Triangles with these measurements
15°, 150, 150°
Choose one
No triangle possible

Answer 1

• No triangle possible
• Triangle possible
• No triangle possible
• No triangle possible

Step-by-step explanation: The lengths of any two sides of a triangle must add up to more than the length of the third side (Triangle Inequality Theorem). The sum of the interior angles add up to 180°.