Question

ACT MATH REVIEW QUESTION PLEASE HELP : a triangle with a perimeter of 66 inches has one side that is 16 inches long. The lengths of the other two sides have a ratio of 2:3. What is the length, in inches, of the longest side of the triangle?

Answer 1

@Vocaloid

Answer 2

well, the perimeter is 66 inches and one side is 16 inches. our first step is to find the combined length of the other two sides

first step: 66-16 = ?

Answer 3

@kat0kitty

Answer 4

66-16 =

Answer 5

50

Answer 6

right, so we know that the other two sides have a combined length of 50

the 2:3 ratio tells us that one side is 2x and the other is 3x

2x + 3x = 50

solve for x

Answer 7

x=10?

Answer 8

right, now we can plug x = 10 back into our other equations

2x = ?
3x = ?

Answer 9

20 and 30

Answer 10

right.

so, all this tells us that the three sides of the triangle are

16, 20, and 30

so the longest side is 30

Answer 11

ok, thank you! would you mind helping me with another problem on ACT review? @Vocaloid

Answer 12

sure, post a new question and tag me

Answer 13

ok, will do:-)