SOLUTION: The sides of a triangle are in the ratio 5: 2: 4. The longest side of the triangle is 15 cm.
Find its shortest side.
Find its perimeter.
Algebra ->
Triangles
-> SOLUTION: The sides of a triangle are in the ratio 5: 2: 4. The longest side of the triangle is 15 cm.
Find its shortest side.
Find its perimeter.
Log On
Question 403088: The sides of a triangle are in the ratio 5: 2: 4. The longest side of the triangle is 15 cm.
Find its shortest side.
Find its perimeter. Answer by rvquartz(19) (Show Source):
You can put this solution on YOUR website! The IMPORTANT key is to realize that "the ratio 5:2:4" in this problem can be translated to mean
"5 'parts', 2 'parts', 4 'parts'"
the longest side is 15cm, so that means that 15cm = 5 'parts'
so 1 'part' = 3cm
the shortest side is 2 'parts'
the perimeter is the sum of all sides = total of 11 parts
so,
the shortest side is 6cm
the perimeter is 33cm