Calculate the area of triangle ABC with altitude, CD, given A(-6,-4), B(6,5), C(-1,6), and D(2, 2).
Round your answer to the nearest tenth if necessary.
The area of triangle ABC is
square units

37.5 square units

Step-by-step explanation:

Given:

A(-6,-4), B(6,5), C(-1,6), and D(2, 2), where CD is the altitude if ∆ABC

Required:

Area of ∆ABC

SOLUTION:

Area of a ∆ABC =½*AB*CD

✍️

✍️

✍️Area of a ∆ABC =½*AB*CD

= ½*15*5

✅ Area = 37.5 square units

the answer is c)8

step-by-step explanaction:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is