SOLUTION: If the measure of the congruent legs of an isosceles triangle is doubled, the perimeter will be 36 cm. If each of the congruent legs of the triangle is increased by 5 cm, the perim

Question 516950: If the measure of the congruent legs of an isosceles triangle is doubled, the perimeter will be 36 cm. If each of the congruent legs of the triangle is increased by 5 cm, the perimeter will be 32 cm. Find the length of the side of a triangle.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the congruent legs be x each

third side be y
2x+2x+y = 36
4x+y=36....................1
increased by 5
x+5+x+5+y =32
2x+y+10=32
2x+y=22.................2
subtract (2) from (1)
2x=36-22
2x=14
x= 7
plug value of x in (1)
28+y=36
y=8
congruent sides = 7cm third side = 8cm
m.ananth@hotmail.ca
RELATED QUESTIONS
Each of the two congruent sides of an isosceles triangle is 4 cm longer than half the... (answered by stanbon)

If the area of an isosceles triangle is x sq. cm and each of the congruent sides measures (answered by KMST)

Find the area of an isosceles right triangle if the measure of its legs is 18 cm. (answered by Cromlix)

An isosceles triangle has a base of 30 cm and legs 17 cm each. What is the measure of a... (answered by Edwin McCravy)

if the congruent angles of an isosceles triangle each measure 41 degrees what is the... (answered by tw23279)

1. Find the area of an equilateral triangle if each side measures 12 cm. A.24 cm^2 B.36 (answered by KMST)

what is the measure of the vertex angle of an isosceles triangle if one isosceles... (answered by Alan3354)

what is the measure of each base angle of an isosceles triangle if its third angle... (answered by DrBeeee)

1) The legs in an isosceles right triangle measure 5 units more than twice the measure of (answered by ankor@dixie-net.com)