Mathematics
Mathematics, 04.11.2019 17:31, bobjill1609

Finding the area of a triangle is straightforward if you know the length of the base and the height of the triangle. but is it possible to find the area of a triangle if you know only the coordinates of its vertices? in this task, you’ll find out. consider δabc, whose vertices are a(2, 1), b(3, 3), and c(1, 6); let line segment ac represent the base of the triangle.

part a
find the equation of the line passing through b and perpendicular to ac

part b
let the point of intersection of ac with the line you found in part a be point d. find the coordinates of point d.

part c
use the distance formula to find the length of the base and the height of δabc.

part d
find the area of δabc.

answer
Answers: 1

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Finding the area of a triangle is straightforward if you know the length of the base and the height...

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