The heron formula is given by:
A = root ((s) * (s-a) * (s-b) * (s-c))
Where,
s = (a + b + c) / 2
We must calculate the third side of the triangle:
a + b + c = 50
Substituting:
22 + 13 + c = 50
Clearing c we have:
c = 50-22-13
c = 15
Substituting the values in the formula we have:
s = (22 + 13 + 15) / 2
s = 25
Then, the area will be:
A = root ((25) * (25-22) * (25-13) * (25-15))
A = 94.86832981
Rounding off we have:
A = 95 in ^ 2
Answer:
the area of triangle RST is:
A = 95 in ^ 2
Note: Consider the below figure attached with this question.
Given:
The ordered pair(6,y) is on line AC.
To find:
The y of this ordered pair.
Solution:
From the below figure it is clear that endpoints of AC are A(-7,-4) and C(1,4). So, equation of AC is
Subtracting 4 from both sides, we get
Thus, the equation of line AC is .
Put x=6 to find the y for the ordered pair (6,y).
Therefore, the value of y is 9.
The answer is A . Hope this Helps