Ratio and Proportions Geometry

The ratio of the measures of the sides of a triangle is 21:8:14. If the perimeter of the triangle is 215 feet, find the length of the smallest side.

• 32 ft

• 70 ft

• 30 ft

• 40 ft

The ratio of the measures of the three angles in a triangle is 2:9:4. Find the measure of the largest angle.

The ratio of the measures of the sides of a triangle is 4:7:5. If the perimeter of the triangle is 128 yards, find the length of the longest side.

The ratio of the measure of the vertex angle to the base angle of an isosceles triangle is 8:5. Find the measure of the vertex angle. Hint: 2 angles are congruent, so 8:5:5.

Write the ratio in simplest form. 180 red marbles to 145 marbles. Choose all answers that are correct.

• 29 to 36

• 36/29

• 29/36

• 36 to 29

The ratio of the measures of 2 supplementary angles is 1:5. What is the measure of the larger angle.

Write the ratio of 30 treadmills to 36 elliptical machines in simplest form.

• 15/18

• 15:18

• 5 to 6

• 6/5

In a triangle, if one side is 6 cm and the other side is 9 cm, and the third side is in a ratio of 2:3 with the second side, find the length of the third side.

• 12

• 10

• 8

• 6

In a triangle, the lengths of the sides are in the ratio 3:4:5. If the perimeter is 36 cm, find the length of each side.

• The lengths of the sides are 10 cm, 15 cm, and 20 cm.

• The lengths of the sides are 8 cm, 12 cm, and 16 cm.

• The lengths of the sides are 12 cm, 16 cm, and 20 cm.

• The lengths of the sides are 9 cm, 12 cm, and 15 cm.

In a triangle, the lengths of the sides are in the ratio 2:3:4. If the perimeter is 54 cm, find the length of each side.

• The lengths of the sides are 15 cm, 20 cm, and 25 cm.

• The lengths of the sides are 18 cm, 24 cm, and 30 cm.

• The lengths of the sides are 10 cm, 15 cm, and 20 cm.

• The lengths of the sides are 12 cm, 18 cm, and 24 cm.