SOLUTION: Have problems with finding the length and the ditance of a sqaure.

Question 1011966: Have problems with finding the length and the ditance of a sqaure.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
14 an extension ;
ladder rests up a wall
If the ladder is extended a further without moving the foot of the ladder, then it will now rest further up the wall
How long is the extended ladder?
let = original length of the ladder
= the distance of the foot of the ladder from the wall

<--- eq. 1

subs from eq. 1

<---- length of extended ladder

15)
an equilateral triangle has area .
Find the length of its sides.

.........eq.1
-----------
Find altitude in terms of side :
Since the triangle is equilateral, all sides are "":
Draw an altitude from the vertex to the base.
You have a right triangle with base = and hypotenuse =
The altitude is the 3rd side:

substitute in eq.1

->the length of each side
and now we can find the length of altitude too:

check the area:

which confirms our solution

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