marvinsductant5807 marvinsductant5807
  • 19-07-2018
  • Mathematics
contestada

Triangles ABC and DEF are similar. The perimeter of triangle ABC is 23. The perimeter of triangle DEF is twice as large as triangle ABC. What are the possible lengths of triangle DEF.

Respuesta :

Аноним Аноним
  • 19-07-2018

Since ABC and DEF are similar, with ratio 1:2, it means that the sides of DEF are twice the size of ABC.


So, the perimeter of DEF is twice the perimeter of ABC, which means it is 46.


We can't pick any triplet of numbers that sum to 46 anyway, because in every triangle the sum of two sides must exceed the third one.


So, for example, the sides of DEF can't be 1, 5, 40, because 1+5 < 40.


A good option (although there are infinite possibility) could be for example 15, 11 and 20.

Answer Link

Otras preguntas

The perimeter of the rectangle shown below is 24 feet. What is the length of side x?
What are the similarities between theater and other performance arts (such as music, film, and so on)?
The amount of heat energy required to raise the temperature of a unit mass of a material one degree is a. absolute zero. b. a Joule. c. a Btu. d. its heat c
A university in the Middle Ages would teach all of the following except ______________. a. Latin c. astrology b. theology d. geology
2. Explain how a problem with insulin receptors would affect the ability to achieve homeostasis
what is 32/3as a mixed number
Which statement describes how the second Great Awakening promoted social reform movements?
how did other European countries react to Portugals success in exploration?
Linguists need not be bilingual or multilingual. a. True b. False
What is the unit rate to this equation? 346 miles on 22 gallons