ceciliasorenson
ceciliasorenson ceciliasorenson
  • 01-08-2017
  • Mathematics
contestada

Can segments with lengths of 36, 48, and 60 form a triangle? If so, would the triangle be acute, right, or obtuse?

Respuesta :

mathmate
mathmate mathmate
  • 01-08-2017
Yes, because by the triangle inequality, a triangle can be formed from three segments of which the sum of the lengths of the two shorter ones exceed the longest segment.

Here we have 36+48=84 > 60, so the three segments form a triangle.

Since the ratio of the sides are 36 : 48 : 60 form the ratio of 3:4:5, which is exactly the ratio of a right triangle, we conclude that the triangle is a right triangle.
Answer Link

Otras preguntas

hey can you please help me posted picture of question
Please answer fast thanks
There is a strong positive linear correlation between rainfall and the number of oranges a tree produces. Does this mean that more rainfall causes orange trees
what happens every time our cells divide
What is the smallest group of organisms in which evolution can take place? species genus family population
What strengths did the North and South have at the start of the war?
Most sociologists view race as meaningful in the sense that it is a _____ category'
Which statements best describe how businesses can take advantage of globalization? Check all that apply. using lower labor costs in other countries creating hi
During World War II, what method of technology did most people use to keep up to date on events in Europe and the Pacific? A) movies B) radio C) telegraph El
Select the two regions of Pakistan directly created by the partition