Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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 .


Sagot :

Answer:

y = x/5 + 12/5

Step-by-step explanation:

Slope of AC is (6 - 1)/(1 - 2) = -5

slope of the line perpendicular to AC is -1//(-5) = 1/5

the equation of the line perpendicular to AC is y = x/5 + b

the equation of the line passing through B, so 3 = 3/5 + b, b = 12/5

the equation of the line passing through B and perpendicular to AC is y = x/5 + 12/5

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.