Question

One side of a triangle is three times the shortest side. The third side is 6 inches more than the shortest side. The perimeter of the triangle is 86 inches. Find the lengths of all three sides.

Answer 1

@AlexandervonHumboldt2

Answer 2

first step is to define a variable

let's let x = the shortest side

with me so far?

Answer 3

yes @Vocaloid

Answer 4

good.

it also says that

"one side is 3 times the shortest side"

so we can write this as 3x

with me so far?

Answer 5

yes

Answer 6

ok, it also says that

The third side is 6 inches more than the shortest side.

so

third side = x + 6

with me so far?

Answer 7

yes

Answer 8

let shortest side = a
other side = 3a
third side = a +6

perimeter => a +3a + a +6 => 5a+6 = 86
5a = 80
a= 16(shortest)
other 16*3 = 48
third one = 16+6 = 22

Answer 9

but, I wonder if the triangle exists. hehehe :D :p

Answer 10

is this right though? @princeharryyy

Answer 11

yeah! it is. but, such a triangle is not possible as the axioms say.