Answer:
Area: T = 18
a. The triangle area using Heron's formula: T= sqrt(s(s−a)(s−b)(s−c)
)
b. 2[tex]\sqrt{10}[/tex]
c. h = 5.69
d. T = 18
Step-by-step explanation:
a. T= sqrt(s(s−a)(s−b)(s−c)
)
T=sqrt(
11.16(11.16−10)(11.16−6)(11.16−6.32)
)
T= sqrt(324
)
T =18
b. We compute the base from coordinates using the Pythagorean theorem
c= sqrt( ((−2−4)^2)+ ((1−3) ^2)
)
c= sqrt(40) = 2sqrt(10)
c. Calculate the heights of the triangle from its area
