Question

Question 4 (5 points)

In the diagram, AC = x, BC = x, and AB = 12-V3. Find the value of x Write your answer in simplest torm.
С
x=6/2
X = 24
с
* = 24
Od
x + 12

Answer 1

d

Explanation:

Using Pythagoras' identity in the right triangle

AC² + BC² = AB² , that is

x² + x² = (12
`√(2)` )²

2x² = 288 ( divide both sides by 2 )

x² = 144 ( take the square root of both sides )

x =
`√(144)` = 12