Extended Ratios in Geometry

The ratio of the measures of the angles of a triangle is 6:2:7. Find the measure of the largest angle.

The ratio of the measures of the sides of a triangle is 4:9:8. If the perimeter of the triangle is 147 feet, find the measure of the shortest side.

• 18 feet

• 28 feet

• 36 feet

• 42 feet

The ratio of the length to the width of a rectangle is 10:6. If the perimeter of the rectangle is 160 meters, what is the measure of the width?

• 24 meters

• 30 meters

• 36 meters

• 40 meters

The ratio of the measures of the angles of a triangle is 6:10:2. Find the measure of the smallest angle.

The ratio of the measures of the sides of a triangle is 2:7:6. If the perimeter of the triangle is 345 yards, find the measure of the median side.

• 30 yards

• 138 yards

• 210 yards

• 230 yards

The ratio of the width to the length of a rectangle is 4:15. If the perimeter of the rectangle is 152 meters, what is the area of the rectangle?

• 960 square meters

• 530 square meters

• 220 square meters

• 730 square meters

The ratio of the measure of ∠A to the measure of angle ∠B is 3:2. Find the measure of ∠A.

• 54°

• 72°

• 90°

• 108°

The ratio of the measures of the angles of a triangle is 17:3:10. Find the measure of the median angle.

• 51 degrees

• 30 degrees

• 102 degrees

• 60 degrees

The ratio of the measures of two supplementary angles is 3:6. Find the measure of the larger angle.

• 30 degrees

• 60 degrees

• 90 degrees

• 120 degrees

The ratio of the vertex angle to a base angle of an isosceles triangle is 8:6. Find the measure of the vertex angle.

• 68 degrees

• 80 degrees

• 72 degrees

• 120 degrees