Question
In the figure below, BE=5,DE=x+2 and AC=3x What is the length of overline (AC) 3 6 10 12
Answer
4.2
(276 Votes)
Unity
Elite · Tutor for 8 years
Answer
To find the length of
, we need to use the information given in the picture details and the question.Step 1: Identify the known lengths.-
-
-
-
Step 2: Use the properties of the triangles.Since
and
share the same vertex A and the side AD, we can use the fact that
.Step 3: Set up the equation.According to the information given, we have:
\(3x = (x + 2) + (x + 2)\)Step 4: Simplify the equation.
Step 5: Solve for x.Subtract
from both sides of the equation:
Step 6: Find the length of
.Since
and
, we substitute the value of x into the equation:\(AC = 3(4)\)
Answer: The length of
is 12.