Solve for t in terms of y :
Substitute this into the parametric equation for x :
9514 1404 393
Answer:
(1.43, 1.87)
Step-by-step explanation:
The formula for the incenter requires we know the lengths of the sides of the triangle. These are found using the distance formula.
BC = √((4-3)^2 +(5+1)^2) = √37
AC = √((-4-3)^2 +(2+1)^2) = √58
AB = √((-4-4)^2 +(2-5)^2) = √73
Then the incenter is ...
(A(BC) +B(AC) +C(AB))/(BC +AC +AB)
≈ (6.08276(-4, 2) +7.61577(4, 5) +8.54400(3, -1))/22.2425
≈ (1.42808, 1.87480)
Rounded to hundredths, the incenter is (1.43, 1.87).
<h2>
The value of A/b is 2.60</h2>
Step-by-step explanation:
We have cosine formula
c² = a² + b² - 2ab cosC
Here
c = B
a = 6
b = 7
C = 60°
Substituting
B² = 6² + 7² - 2 x 6 x 7 cos60
B² = 43
B = 6.56
b = 7 closest integer to B.
Given that A is area of triangle
A=0.5absinC
A = 0.5 x 6 x 7 x sin60 = 18.19
We need to find
The value of A/b is 2.60
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