Checkpoint: SAS, SSA, RHS and AAS

A triangle has sides 7 and 5 with 55° between them. How many different triangles fit?

• One, since the angle sits between the sides
• It depends on which side is longer
• Two, since the sides can move

A 30° angle has 8 beside it and 5 opposite. How many triangles fit?

• None, since 5 is less than 8
• Two, since 5 is between 4 and 8
• One, since three measurements always fix one triangle

A right triangle has hypotenuse 13 and a leg of 5. How long is the third side?

• 12
• 8, from 13 − 5
• 18, from 13 + 5

Two angles of a triangle are 65° and 48°. What is the third angle?

• 67°
• 17°, the two subtracted
• 113°, the two added

An isosceles triangle has an apex angle of 40°. What is each base angle?

• 140°
• 70°
• 40°