SOLUTION: ΔABC has vertices at A(8,3), B(7,5), and C(2,4). Point D, located on AC¯ at approximately (6.7,3.22), is the intersection of the altitude drawn from B to AC¯. https://cds.f

Algebra.Com
Question 1064074: ΔABC has vertices at A(8,3), B(7,5), and C(2,4). Point D, located on AC¯ at approximately (6.7,3.22), is the intersection of the altitude drawn from B to AC¯.
https://cds.flipswitch.com/tools/asset/media/601653
The area of △ABC is _____ units2.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Segment BD is perpendicular to segment CA. What is the exact intersection point of lines BD and CA? How far is point D from point B?


line CA


slope is .


line BD
Need slope to be 6.



Now, again, what is the intersection of line CA and BD?





-




-




Point D is at


What is the distance between D and B? This is the altitude for the base AC.

Area for the triangle,
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

ΔABC has vertices at A(8,3), B(7,5), and C(2,4). Point D, located on AC¯ at approximately (6.7,3.22), is the intersection of the altitude drawn from B to AC¯.
https://cds.flipswitch.com/tools/asset/media/601653
The area of △ABC is _____ units2.
Just calculate the length of AC, the base, using the distance formula: , and the length of the altitude, or BD.

Now, take half the product of AC and BD, since the area of a triangle is calculated as 

That's all.......nothing too COMPLEX and/or CONFUSING. 

RELATED QUESTIONS


ΔABC has vertices at A(5,2), B(−3,1), and C(−2,5). Point D is located on  (answered by mananth,ikleyn,greenestamps,MathTherapy,math_tutor2020)

Triangle ABC has vertices at A (3,0), B(9,-5)and C(7,-8). Find the length of AC is... (answered by Alan3354,rfer)

I NEED HELP. PLEASE HELP ME ASAP. THANKS BEFORE :)
1) The straight line with equation... (answered by richard1234)

ΔABC has the vertices A(0, 0), B(-8.5, 3), and C(0, 6), and ΔAXY has the... (answered by KMST)

Question 33
Marks: 2
What is a valid reason for stating that angle 1 is congruent to... (answered by lynnlo)

The vertices of rectangle ABCD on a coordinate grid are A(2, 6), B(2, 7), C(8, 7) and... (answered by MathLover1)

 Question 8

    If AB = 5.5, CD = 7, and FE = 19.5, calculate the values of   line... (answered by MathLover1)

Triangle ABC has vertices A(4, 8), B(2, –4), and C(6, 0). Find the vertices of A´B´C´... (answered by ewatrrr)

Triangle ABC has vertices A(4, 8), B(2, –4), and C(6, 0). Find the vertices of A´B´C´... (answered by ewatrrr)