Respuesta :
The value of x is 3 and the measure of each side of isosceles ΔJKL is:
JK = 11
KL = 11
LJ = 5
We know that, in an isosceles triangle, any two sides of the triangle are equal and the angle opposite to these sides are equal in measure.
In this question, we have been given an isosceles ΔJKL with JK ≅ KL .
Also we have been given,
JK = 4x - 1, KL= 2x + 5 , and LJ = 2x - 1
As JK = KL
⇒ 4x - 1 = 2x + 5
⇒ 4x - 2x - 1 = 2x + 5 -2x
⇒ 2x = 5 + 1
⇒ 2x = 6
⇒ x = 3
So, the value of x is 3.
Now we find the measure of each side of triangle JKL
JK = 4x-1
JK = 4(3) - 1
JK = 12 - 1
JK = 11
Now the side KL
KL = 2x + 5
KL = 2(3) + 5
KL = 11
And LJ = 2x-1
LJ = 2(3) - 1
LJ = 5
Therefore, the value of x is 3 and the measure of each side of isosceles ΔJKL is:
JK = 11
KL = 11
LJ = 5
Learn more about an isosceles triangle here:
https://brainly.com/question/2456591
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