Two equal sides of isosceles triangle of a triangle are (5x+3) and (6x-7) find the value of x .if the value of x .if the perimeter of triangle 141 cm then find third side?

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Answer 1 · 2018-06-21T05:27:28

# x= 10 cm#

Third side of this Isosceles triangle is #35 cm# enter image source here

In Isosceles triangle, two sides of triangle is equal as shown in the attached diagram.

That means #5x+3 = 6x-7#

From above, we can find the value of #x#.

#5x+3 = 6x-7#

#5x-6x = -7-3#

#-x=-10#

#x=10#

Hence Two Equal sides of Isosceles triangle is #53 cm# each.

Perimeter of Triangle is sum of length of all three sides of triangle.

Perimeter, #p = a + b + c#,

Given Perimeter,#p=141#

#141 = 53+53 + c#

#141 = 106 + c#

#141-106 = c#

#c = 35#

Therefore, third side of this Isosceles triangle is #35 cm#