Download Ratio Problems Honors Geometry 12

Ratio Problems Honors 7-1 and 7-2
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Write the equation for each and solve. Show all work.
1. The three angles of a triangle have the ratio of 2:3:5. Find the measure of each angle.
2. The vertex angle and the one base angle of an isosceles triangle are in the ratio of 7:4. Find the
measures of the 3 angles.
3. The sides of a triangle have the ratio of 7:9:12. The perimeter of the triangle is 420. Find the length of
each side.
4. Two consecutive interior angles between parallel lines are in a ratio of 7:3. Find the measures of the
angles.
5. The two angles in a linear pair are in a ratio of 5:7. What are the measures of the two angles?
6. The ratio of 2 acute angles of a right triangle are in a ratio of 2:3. What are the measures of those
angles?
7. The larger of two similar rectangles has dimensions of 7m and 14m (l & w). If the width of a smaller
rectangle is 4m, what is the length?
8. The length of the smaller of two similar rectangles is 3 times its width. If the larger rectangle has a
length of 15cm, what is its width?
9. If a rectangular I.D. card is 4cm x 8cm (l x w) is enlarged so that its new perimeter is 50cm, what is
the new width?
10. The base of an isosceles triangle is 12cm long and one of the legs is 6cm long. What is the perimeter
of a similar triangle whose base is 18cm?