Proportions in Triangles

The lengths of the sides of a triangle are 5, 12, and 13.  What is the length of the longest side of a similar triangle whose perimeter is 90?

• 13
• 15
• 36
• 39

The sides of a triangle have lengths of 3, 4, and 5.  What is the length of the shortest side of a similar triangle that has a perimeter of 36?

• 12
• 9
• 3
• 15

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Two triangles are similar.  The lengths of the sides of the smaller triangle are 3, 5, and 6, and the length of the longest side of the larger triangle is 18.  What is the perimeter of the larger triangle?

• 14
• 18
• 24
• 42

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Henry's sailboat has two sails that are similar triangles.  The larger sail has sides of 10 feet, 24 feet, and 26 feet.  If the shortest side of the smaller sail measures 6 feet, what is the perimeter of the smaller sail?

• 15
• 36
• 60
• 100

The sides of a triangle are 8, 12, and 15.  The longest side of a similar triangle is 18.  What is the ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle?

• 2:3
• 4:9
• 5:6
• 25:36

The ratio of the corresponding sides of two similar triangles is 3:5.  What is the ratio of the perimeters of these triangles?

• 5:3
• 9:25
• 3:5
• 6:10

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

The ratio of the corresponding sides of two similar triangles is 3:5.  What is the ratio of the areas of these triangles?

• 5:3
• 9:25
• 3:5
• 6:10

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

The ratio of the corresponding sides of two similar polygons is 2:3.  If the perimeter of the larger polygon is 27, find the perimeter of the smaller polygon.

• 18
• 13.5
• 40.5
• 32

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSG.SRT.A.2

If the ratio of the areas of two similar figures is 25:64, find the ratio of the sides of these figures.

• 25:64
• 5:8