Question 1177512: Triangle ABC has its coordinate at A(a,-1),B(8,-1) and C(5,4).If the base is twice the height, find a
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
The problem does not disclose which of the three sides of the triangle is called "the base";
so I will assume that the base is the horizontal segment AB.
Then the length of the base is |8-a| units, while the height is 4 - (-1) = 5 units.
We find "a" from this absolute value equation
| 8-a | = 2*5,
which is equivalent to
| a-8 | = 10.
It has two solutions a= 18 or a= -2.
ANSWER. Possible values of "a" are -2 or 18.
Solved, answered, explained and completed.
|
|
|
