Answer:
She made a mistake in Step 7.
Step-by-step explanation:
Step 1 through 6 are correct. Only from Step 6 to Step 7 the problem comes in: both sides of the equation are multiplied by x, however the x on the left side, by error, becomes 1. The correct state in Step 7 should look like this:
Answer:
Step-by-step explanation:
Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that . We are given the lengths of all 3 sides in terms of
, but we only need to set two of them equal to each other to solve for
. Let's use
and
to solve for
. We know that
,
, and
. Therefore, we can write the following equation to solve for
(Substitute given values into equation)
Solving for , we get:
(Subtract
from both sides of the equation to isolate constants)
(Simplify)
(Subtract
from both sides of the equation to isolate
)
(Simplify)
(Divide both sides of the equation by
to get rid of
's coefficient)
(Simplify)
Therefore, , and
. Hope this helps!
