Respuesta :
Answer:
x = 6
Step-by-step explanation:
Since the triangle is equilateral then sides are congruent.
Equate any 2 sides and solve for x
13x + 5 = 8x + 35 ( subtract 8x from both sides )
5x + 5 = 35 ( subtract 5 from both sides )
5x = 30 ( divide both sides by 5 )
x = 6
JK = (13 × 6) + 5 = 78 + 5 = 83
KL = (17 × 6) - 19 = 102 - 19 = 83
JL = (8 × 6) + 35 = 48 + 35 = 83
ΔJKL is equilateral with side = 83
An equilateral triangle is a shape with 3 sides that have an equal side length.
The value of x is 6, JK is 83, KL is 83 and JL is 83.
The 3 sides of triangle JKL are equal to each other, hence we can equate any of the two sides together to find the unknown variable called x.
So: JK = KL
JK = 13x + 5
KL + 17x - 19
13x + 5 = 17x - 19
Collect like terms
17x - 13x = 19 + 5
4x = 24
x = 24/4
x = 6
We can proceed to find the sides now
JK = 13x + 5
13 x 6 + 5
= 78 + 5
= 83
JK = 83
KL = 17x - 19
= 17 x 6 - 19
= 102 - 19
= 83
KL = 83
JL= 8x + 35
= 8 x 6 + 35
= 48 + 35
= 83
JL = 83
Therefore, The value of x is 6, JK is 83, KL is 83 and JL is 83.
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