Unique Triangles (Monday)
Name:___________________
Period: _________________
Tell whether each figure creates the conditions to form a unique triangle, more than one
triangle, or no triangle.
1.
Side lengths of 4 in, 8 in, and 9 in. (SSS)
2.
Angle measures of 30°, 60°, and 90°. (AAA)
3.
Angle measures 45° and 60°.
Included side of 3 inches. (ASA)
4.
Side lengths of 7 m, 22 m, and 12 m. (SSS)
Solve each problem below
5.
The scale of a map is 2 cm:15 m. Find the actual distance for each map distance.
1
Part A: 6 cm
Part B: 9 cm
2
6.
A bedroom measures 12 feet by 20 feet. On a scale drawing is measures 3 inches by 5 inches.
What is the scale?
7.
Devin just got hired as a salesman for a software company. His supervisor expects him to average
$50,000 in sales each month. He must choose between to payment options. Option 1: A month
salary of $2,500 plus 4% commission. Option 2: A 7% commission only. Which option should
Devin choose? Support your answer with numerical data.