Answered

IDNLearn.com offers a unique blend of expert answers and community-driven insights. Our platform offers reliable and detailed answers, ensuring you have the information you need.

Find the orthocenter of a triangle with vertices (−8, 11), (−3, 11), and (−3, −12).
The orthocenter of triangle is at ( , ).

Sagot :

S1m1idn

Answer:

( -3, 11)

Step-by-step explanation:

find the equation of the line between points ( -8, 11) and (-3, 11)

y= mx +b , where m is slope snd b is y-intercept

m = (y2-y1)/ (x2-x1) = 11-11/ -8- -3 = 0/ -5 = 0 ( if slope is o is a horizontal line)

y = 0x + b and pick a point to find b

11 = 0*-8 + b so b= 11

y = 11 is the equation of the line between points ( -8, 11) and (-3, 11) and the equation of its perpendicular line is x=-3

the equation of the line between points  (-3, 11) and ( -3, -12) is x= -3 and the perpendicular to it is y= 11

so we have a right triangle so the ortho center is at (-3, 11) where the vertex of the 90 degree angle is

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com is your source for precise answers. Thank you for visiting, and we look forward to helping you again soon.