Similarity coefficient
Given triangle ABC with sides a = 12 cm, b = 9 cm, c = 7 cm, and triangle DEF with sides d = 8.4 cm, e = 6.3 cm, f = 4.9 cm. Determine whether triangles ABC and DEF are similar. If so, state the similarity ratio and the theorem by which they are similar.
Final Answer:
Tips for related online calculators
Check out our ratio calculator.
Do you want to convert length units?
See also our trigonometric triangle calculator.
Do you want to convert length units?
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
geometryplanimetrybasic operations and conceptsUnits of physical quantitiesGrade of the word problem
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Similarity
ABC is a triangle wherein a = 4 cm, b = 6 cm, c = 8 cm. Is it similar to the triangle DEF: d = 3 cm, e = 4.5 cm, f = 6 cm? If so, determine the ratio of similarity. - Similar triangles
The triangles ABC and XYZ are similar. Find the unknown lengths of the sides of the triangles. a) a = 5 cm b = 8 cm x = 7.5 cm z = 9 cm b) a = 9 cm c = 12 cm y = 10 cm z = 8 cm c) b = 4 cm c = 8 cm x = 4.5 cm z = 6 cm - Similar triangles
In the triangle DEF is DE = 21 cm, EF = 14.7 cm, DF = 28 cm. The triangle D'E'F' is similar to the triangle DEF. Calculate the lengths of the sides of the triangle D'E'F' if the similarity coefficient is one-seventh. - The triangles
Two similar triangles, KLM and ABC, are given. Calculate the lengths of the remaining sides of the triangle KLM. If the lengths of the sides are a = 7 b = 5.6 c = 4.9 k = 5 - Similar triangles
The triangles ABC and XYZ are similar. Find the unknown lengths of the sides of the triangles. The lengths: a = 5 cm, b = 8 cm and x = 7.5 cm z = 9 cm. - Similar triangles
Triangle A'B'C 'is similar to triangle ABC, whose sides are 5 cm, 8 cm, and 7 cm long. What is the length of the sides of the triangle A'B'C' if its circumference is 80 cm? - Triangle side
The lengths of the sides of the triangle ABC are in the ratio 4:2:5. Calculate the size of the longest side of a similar KLM triangle, whose circumference is 66 cm.
