Question

In triangle ABC, we are given AB + BC = 34 and BC + AC = 34. Classify triangle ABC
Scalene
Isosceles
Equilateral
Right
.

Answer 1

Isosceles

Answer 2

AB + BC = 34 = BC + AC

AB + BC = BC + AC

AB + BC - BC = BC - BC + AC

AB = AC

Therefore 2 sides are equal, however it is impossible to tell whether BC is equal to AB or AC. e.g., BC could equal 5 while AC and AB both equal 29, or BC could equal to 17 while AC and AB are both 17 as well. So it must be Isosceles

Answer 3

isosceles...

Answer 4

thank you, y'all are amazing (: