1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rodikova [14]
2 years ago
14

The vertices of a triangle are A(0,0),B(3,8) and C(9,0). What is the area of this triangle?

Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
5 0

Answer:

9

Step-by-step explanation:

To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. Ax and Ay are the x and y coordinates for the vertex of A. The same applies for the x and y notations of the B and C vertices.

Fill in the numbers for each corresponding letter combination within the formula.

Fill in your formula like this: 0(8-10) + 3(0-0) + 9(0-8).

Subtract the numbers within the parentheses.

0 from 8 = 8, 0 from 0 = 0 and 8 from 10 = 2.

Multiply that result by the number to the left of the parentheses.

0 by 8 = 0, 3 by 0 = 0 and 9 by 2 = 18.

Add the three products together.

0 + 0 + 18 = 18

Divide the sum of the three products by 2.

18 ÷ 2 = 9

You might be interested in
6x + 4y=10 12x + y= -29
Olin [163]

Answer: x=-3    y=7.

Step-by-step explanation:

\displaystyle\\\left \{ {{6x+4y=10\ \ \ \ \ (1)} \atop {12x+y=-29\ \ \ \ (2)}} \right.\\  We\  multiply\  both\  sides\  of\  equation\  (1)\  by\  -2:\\\left \{ {{(-2)*6x+(-2)*4y=(-2)*10} \atop {12x+y=-29}} \right. \\\\\left \{ {{-12x-8y=-20} \atop {12x+y=-29}} \right. \\We\  summarize\  equations\  (1)\  and\  (2):\\-7y=-49\\-7*y=-7*7\\Divide\  both\  sides\  of\  the\  equation\  by\  -7:\\y=7.\\We\  substitute\  the\  value\  of\  y\  into \ equation\  (1):\\6x+4*7=10\\6x+28=10\\6x+28-28=10-28\\6x=-18\\6*x=6*(-3)\\Divide\  both\  sides\  of\  the\  equation\  by\  6:\\x=-3.

3 0
2 years ago
In this diagram, bac~edf. if the area of bac= 6 in.², what is the area of edf? PLZ HELP PLZ PLZ PLZ
NemiM [27]

Answer:

2.7 in²

Step-by-step explanation:

Area of ∆BAC : ∆Area of EDF = BC² : EF² (based on the area of similar triangles theorem)

Thus:

6 in^2 : x in^2 = (3 in)^2 : (2 in)^2

\frac{6}{x} = \frac{3^2}{2^2}

\frac{6}{x} = 2.25

\frac{6}{x}*x = 2.25*x

6 = 2.25x

\frac{6}{2.25} = \frac{2.25x}{2.25}

2.67 = x

Area of ∆EDF = 2.7 in²

5 0
3 years ago
SOLVE THE PROPORTION BELOW <br>8/x = 2/3<br>x=<br>A. 10<br>B. 9<br>C. 11<br>D. 12
Fynjy0 [20]
The correct answer is D.12
7 0
3 years ago
Read 2 more answers
I need help with my test
Serga [27]

Answer:

Nine is 76, no clue about eight

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The sum of 3 consecutive integers is 27 less than the least of the integers..
zysi [14]

Answer:  -13, -15

Step-by-step explanation:

If x is the smallest integer, then:

x + (x + 1) + (x + 2) = x - 27

3x + 3 = x - 27

2x = -30

x = -15

Integers: -15, -14, -13

5 0
2 years ago
Other questions:
  • Just making sure I got this right.
    15·1 answer
  • Need help on this question
    5·1 answer
  • An observer on the top of a lighthouse observes the angles of depression of two ship at anchor to be 75 and 45 respectively. Fin
    8·1 answer
  • What is 19/5 mixed number
    7·1 answer
  • John jogs 2 7/10 miles to the park. Marsha jogs 4/5 miles to the park. How much farther does John jog?
    9·2 answers
  • What is the prime factorization of 85
    14·2 answers
  • Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school he puts m mechanical pe
    9·1 answer
  • Which product is greater than 3/4?
    10·1 answer
  • Vcv-hqxf-qod meet code LOL
    8·2 answers
  • What is the relationship between these 2 angles
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!