SOLUTION: A triangle has a perimeter of 161 miles. Each of the two smaller sides of the triangle is two thirds the length of of the longest side. Find the length of each side of the triangle
Algebra.Com
Question 161654: A triangle has a perimeter of 161 miles. Each of the two smaller sides of the triangle is two thirds the length of of the longest side. Find the length of each side of the triangle.
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
P = 161.
L = larger side.
2/3 * L = smaller side.
P = L + 2*(2/3)*L = L + (4/3 * L) = L * (1 + 4/3) = L * (7/3) = (7/3)*L
(7/3)*L = 161
L = (3/7)*161
L = 69
-----
larger side = 69
smaller side = 2/3 * 69 = 46
-----
69 + 2*(46) = 69 + 92 = 161
-----
sizes prove to be good.
answer is:
-----
larger side = 69
smaller side = 46
RELATED QUESTIONS
A triangle has a perimeter of 161 miles. Each of the two smaller sides of the triangle... (answered by checkley77)
I need your help please, A triangle has a perimeter of 161 miles. Each of the two smaller (answered by Earlsdon,jim_thompson5910)
A triangle has a permimeter of 161 miles. Each of the smaller two sides of the triangle... (answered by checkley77)
Will you please help me to set up the equation and solve for this word problem?
A... (answered by Fombitz)
in an isosceles triangle, each of the congruent sides is two thirds of the base. the... (answered by stanbon)
An isoseles triangle has a perimeter of 12cm.
One of its sides is 5cm.
What could the... (answered by CharlesG2)
A triangle has a perimeter of 84cm. Each of the two longer sides of the triangle is three (answered by tasmart)
A triangle has a perimeter of 84 centimeters. Each of the two longer sides of the... (answered by Boreal)
a triangle has sides of equal length the perimeter is 7.5cm what is length of each... (answered by texttutoring)