Question

An isosceles triangle has a perimeter of 34cm . The congruent sides measure (4x-1)cm . The length of the third side is x cm . Find X

Answer 1

x=4

Explanation:

`4x - 1 + 4x - 1 + x = 34\\\\4x + 4x = 8\\8x + x = 9x\\9x - 1 - 1 = 34\\\\\left \{ {{9x -1+ -1 = 34} \atop {+ 1 = + 1}} \right. \\\\When you have two of the same signs, you add them together.\\so you should end up with -2 so now we have \\9x- 2=34 \\\left \{ {{9x- 2=34 } \atop {+2 + 2}} \right. \\9x = 36\\\left \{ {{{9x= 36} \atop {9\\ \\ \\ \\ \\ \\ \\ 9}\right. \\36 divided by 9 which gives you 4\\so\\ x=4`

Answer 2

You know that the perimeter
P
is equal to
34
ans that it is the sum of the lengths of the three sides:
P
=
(
4
x
−
1
)
+
(
4
x
−
1
)
+
x
=
34
so:
4
x
−
1
+
4
x
−
1
+
x
=
34
isolate
x
:
9
x
=
34
+
2

9
x
=
36

x
=
36
9
=