What is an equilateral triangle?
2 answers:
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Answer:
Step-by-step explanation:
The area for a trapezoid is
h is the length of ST, one of the bases is the length of MK, and the other base is the length of AS. First we'll find h:
The coordinates for S are (0, -2) and T are (1, 2). Using the distance formula:
and
. So h = √17
Now for the length of MK. The coordinates for M are (-7, 4) and for K (5, 1). Using the distance formula again:
and
so
which simplifies to
. So MK = 3√17.
Now for the length of AS. The coordinates for A: (-4, -1) and for S: (0, -2). Using the distance formula one more time:
and
and
. So AS = √17.
Now we can fill in our area formula:
Simplifying a bit:
and simplifying a bit more:
and
A = 34