ElianaSiegel7858 ElianaSiegel7858
  • 02-01-2019
  • Mathematics
contestada

A triangle has two sides of length 18 and 17. What is the smallest possible whole-number length for the third side?

Respuesta :

gmany
gmany gmany
  • 03-01-2019

a, b, c - sides of a triangle

a + b > c

a + c > b

b + c > a

--------------------------

We have a = 18 and b = 17. Substitute:

18 + 17 > c

35 > c → c < 35

--------------------------

18 + c > 17     subtract 18 from both sides

c > -1

--------------------------

17 + c > 18     subtract 17 from both sides

c > 1

--------------------------

c < 35 and c > -1 and c > 1.

Therefore  1 < c < 35

Answer: The smallest possible whole number length of third side is 2.

Answer Link

Otras preguntas

Besides airplanes, which other kinds of vessels did the Japanese have more of than the United States?
An academic essay should always open with a centered __________ at the top of the first page.
pregnant woman asked her doctor about the chances of her baby being a boy. The doctor said that there was an equal chance of the baby being a boy or a girl. C
Find the percent of change. Original: 80, new: 64
what does susceptible mean?
Solve and check the equation. .3x=18
One year I had 30 ap environmental science students and the next year I had 50 environmental students, what percentage did the population of apes students grow
BRAINLIESTTT ASAP! - What did they borrow from the Chinese? - What is a Samurai? - What is isolationism? Why did Japan practice this?
Geometry math question no Guessing and Please show work thank you
Fluent spanish speakers please!!! How do you say "I watched the travel channel" in spanish?