faithhiggs5569 faithhiggs5569
  • 22-10-2021
  • Mathematics
contestada

Can a triangle have sides with the given lengths 8cm, 7cm, 9cm explain

Respuesta :

physicsgeniuspi physicsgeniuspi
  • 24-10-2021

Answer:

YES

Step-by-step explanation:

For a triangle of sides a, b, c, we must have the following to be true to have a triangle.

a + b > c > |a - b|

b + c > a > |b - c|

a + c > b > |a - c|

if a=8, b=7, and c=9, we have that:

8 + 7 > 9 > 8 - 7, 15 > 9 > 1. TRUE.

7 + 9 > 8 > 9 - 7, 16 > 8 > 2. TRUE.

8 + 9 > 7 > 9 - 8, 17 > 7 > 1. TRUE.

Thus, a triangle can have sides of 8 cm, 7 cm, 9 cm.

Answer Link

Otras preguntas

to manage a rental property, a property manager charges $59 per month plus 8% of the rent. a) write an equation to represent the total monthly fees charged by
You buy a container of cat litter for $12.25 and a bag of cat food for x dollars. The total purchase is $19.08, which includes 6% sales tax. Write and solve an
Graph the solution set of the following linear inequality
The main benefit of a technical school certification is
in the Odyssey what does the line "dawn mounts her golden thrown" mean
Find the mean,median,mode and range for each set of data its 23,27,24,26,26,24,26,24
Audrey has $120 to spend on a tennis racket and lessons the racket cost $45 and the lessons cost $15 per hour define the variable then write and solve an equati
Which of the following best describes the equation below? 4(x + 9) + 5x = 9x - 36 A. exactly one real solution, x = 14 2/5 B. exactly one real soluti
E=〖mc〗^2 M = 3 C = 6
was communication always formal?