Question

What is the length of AC¯¯¯¯¯ ?

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units___

Answer 1

AC = 6

Explanation:

y is the dimension of the horizontal segment (see the attached image).

The hypotenuses are the same dimension, so:

(x+4)^2=(x/2)^2+y^2

(3x-8)^2=(x/2)^2+y^2

So,

(x+4)^2 = (3x-8)^2

x+4 = 3x-8

x-3x = -8-4

-2x = -12

x = 6

And x is the dimension of the segment AC.

Answer 2

Answer : The length AC is, 6

Step-by-step explanation :

The given triangle is an isosceles triangle in which the angles opposite to equal sides are always equal.

Thus,
`\angle A=\angle C`

`(x+4)=(3x-8)`

`x+4=3x-8`

`3x-x=8+4`

`2x=12`

`x=6`

The length AC = x = 6

The length AB = (x + 4) = 6 + 4 = 10

The length AB = (3x - 8) = 3(6) - 8 = 10

Thus, the length AC is, 6