Question

WILL MARK BRAINLIEST!!!!!!MUST BE CORRECT!

Answer 1

Hi there! The answer is 9 square units

To find the area of a triangle we use the following formula:
Area = 0.5 * base * height.

The base of this triangle:
AC = 6 

The height of this triangle:
BD = 3

Filling in this formula gives us: 
Area = 0.5 * 3 * 6 = 9

Therefore, the answer is 9 square units

Answer 2

D = √(x₂ - x₁)² +  (y₂ - y₁)²                Distance Formula 
d AD = √(2+2)² + (1-1)²
d AD = √4² + 0²
d AD = √16 + 0 
d AD = √16 
d AD = 4

Distance of segment AD: 4 


 d DC = √(4-2)² + (1-1)²
 d DC = √(2)² + (0)²
 d DC = √4 + 0
 d DC = 2 

Distance of segment DC: 2 

From this information, we can draw the conclusion that segment AC must equal 6 units using the segment addition postulate. 


Now, we need to find the height of the altitude. We don't even need to use the distance formula to figure out that the height is 3 units. I just wanted to incorporate algebra into my answer for fun! I love algebra.

From here, use the formula for the area of a triangle.

A = 1/2(b)(h)
A = 1/2(6)(3)
A = 9 units

The area of this triangle is 9 units. Hope this helps! :D