SOLUTION: The lengths of the three sides of a trianlge are in the ratio 3:5:6. The perimeter of the triangle is 21 cm. How can you find the length of each side of the triangle.
Algebra.Com
Question 508891: The lengths of the three sides of a trianlge are in the ratio 3:5:6. The perimeter of the triangle is 21 cm. How can you find the length of each side of the triangle.
Found 2 solutions by oberobic, rfer:
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Let 'x' be the unknown measurement.
.
Perimeter of a triangle = sum of sides.
.
3x + 5x + 6x = 21
.
14x = 21
.
x = 21/14 = 3/2
.
3x = 3(3/2) = 9/2
5x = 5(3/2) = 15/2
6x = 6(3/2) = 18/2
.
9/2 + 15/2 + 18/2 = 42/2 = 21
.
The three sides are: 9/2, 15/2 and 18/2
or 4.5, 7.5, and 9.
.
Done.
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
3x+5x+6x=21
14x=21
x=1.5
3x=4.5
5x=7.5
6x=9
RELATED QUESTIONS
The lengths of three sides of a triangle are in the ratio 3:5:6. The perimeter of the... (answered by rahman)
the measure of two legs of a triangle are in the ratio 3:4. if the area of the triangle... (answered by ankor@dixie-net.com)
The sides of a triangle are in the ratio 12:13:14. The perimeter is 156 cm. Find the... (answered by jim_thompson5910)
The lengths of the three sides of a triangle are in the ratio 4:5:7. The longest is 21... (answered by Boreal)
The lengths of the sides of a triangle are in the ratio 3:4:6. The perimeter of the... (answered by Boreal)
The perimeter of a triangle is 48 cm and the lengths of the sides are in the ratio 3:4:5. (answered by ewatrrr)
The lengths of the sides of a triangle are in the extended ratio 4 : 9 : 10. The... (answered by Alan3354)
The lengths of the sides of a rectangle are in the ratio 5 : 3. The perimeter is 32 cm.... (answered by Alan3354)
The lengths of the sides of a rectangle are in the ratio 5 : 3. The perimeter is 32 cm.... (answered by rfer)