X=5.1 D C 6. If the ratio of the areas of two similar triangles is 36:49, what is the ratio of the perimeters?
Added by Eric V.
Close
Step 1
Let the ratio of the perimeters of the two similar triangles be $P_1:P_2$. We know that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides (or perimeters). Therefore, we have $$\frac{A_1}{A_2} = Show more…
Show all steps
Your feedback will help us improve your experience
Sandip Ranjan and 63 other Geometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
If the angles of a triangle are in the ratio $4: 1: 1$, then the ratio of the longest side to the perimeter is (a) $\sqrt{3}:(2+\sqrt{3})$ (b) $1: 6$ (c) $1: 2+\sqrt{3}$ (d) $2: 3$
The ratio of the side lengths of 2 similar triangles is 3:5. The smaller triangle has sides that measure 5 centimeters, 7 centimeters, and 9 centimeters. What is the perimeter, in centimeters, of the larger triangle? ( ) A. 1235 B. 21 C. 35 D. 63 E. 105
Benjamin D.
Triangle ABC is similar to Triangle DEF. The side lengths of triangle ABC are given by the expressions: AB = x2, BC = 6x – 4, and AC = 4x. If the linear scale factor from ABC to DEF is 1:3, which of the following expressions would represent the perimeter of triangle DEF? (a) 3x^2 + 10x – 4 (b) 3x^2 + 12x + 18 (c) 3x^2 + 30x – 12 (d) X^2 + 18x – 12
Tim T.
Recommended Textbooks
Geometry A Common Core Curriculum
Geometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD