The corresponding height of the triangle is 1.6 units
The formula for calculating the area of a triangle is expressed as:
- b is the base of the triangle
- h is the height of the triangle
Given the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:
The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:
![A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Bx_1%28y_2-y_3%29%2Bx_2%28y_3-y_1%29%2Bx_3%28y_1-y_2%29%5D%5C%5C)
Substituting the coordinate points:
![A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B%28-1%29%282-%28-1%29%29%2B3%28-1-1%29%2B-1%281-2%29%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B%28-1%29%283%29%2B3%28-2%29%2B-1%28-1%29%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B-3-6%2B1%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%20%28-8%29%5C%5C%7CA%7C%20%3D4%20units%5E2)
Recall that:
Hence the corresponding height of the triangle is 1.6 units
Learn more on area of triangles here: brainly.com/question/17335144
Options A and D are correct. The pair of measurements that could be the dimensions of rectangle B is 6 cm by 1.5 cm and 18 cm by 4.5 cm.
For us to get a scale copy of the dimension, we need to first find the scale factor as shown;
Given the measure of rectangle A:
To get all of the measurement pairs that could be the dimensions of Rectangle B, we need to multiply the length and width by the same factor
Multiplying by 1/2
New length = 12 × 0.5 = 6cm
New width = 3 × 0.5 = 1.5cm
Hence 6cm by 1.5cm can be dimension of B
Multiplying by 1.5
New length = 12 × 1.5 = 18cm
New width = 3 × 1.5 = 4.5cm
Hence 18cm by 4.5cm can be dimension of B
Learn more here: brainly.com/question/24759485
Just took the quiz.
A. 145°
C. /
A. 250°
D. -.87,-0.5
A. Sqrt(3)/2
Answer:
32x3−20x2+24xz+56x−15z−35
Step-by-step explanation:
