SOLUTION: The perimeter of a triangle is 126 units. The length of one side is twice the length of the shortest side. The length of the third side is fourteen more than the length of the sho

Algebra.Com
Question 491557: The perimeter of a triangle is 126 units. The length of one side is twice the length of the shortest
side. The length of the third side is fourteen more than the length of the shortest side. Find the
length of the sides of the triangle.

Answer by cleomenius(959)   (Show Source): You can put this solution on YOUR website!
a = longest
b = middle
c = shortest
================================
a = 2x
b = x + 14
c = x
================================
2x + x + 14 + x = 180
4x + 14 = 180
4x - 166
x = 41.5 degrees.
===============================
a = 83 Degrees
b = 55.5 Degrees
c = 41.5 Degrees
===================================
83 degrees + 55.5 degrees + 41.5 degrees
This does check.
========================================
Cleomenius

RELATED QUESTIONS

one side of a triangle is 2 inches more than the shortest side. the third side is twice... (answered by sabanasir)
a flower bed is in the shape of a triangle with one side twice the length of the... (answered by checkley79)
The perimeter of a triangle is 24cm. One side is 2cm. longer than the shortest side. The (answered by stanbon)
The perimeter of a triangle is 62 inches. Find the length of the 3 sides if one side is... (answered by richwmiller)
a flower bed is in the shape of a triangle with one side twice the length of the shortest (answered by josgarithmetic)
A flower bed is in the shape of a triangle with one side twice the length of the shortest (answered by ikleyn)
The congruent sides of an isosceles triangle are each 1 unit longer than the length of... (answered by brysca)
One side of a triangle is four centimeters longer than the shortest side. The third side (answered by orca)
A triangle has a perimeter of 31 inches. Find the lengths of the three sides if one side... (answered by checkley77)