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
bulgar [2K]
2 years ago
15

Find the area of the triangle ABC with the coordinates of A(10, 15) B(15, 15) C(30, 9).

Mathematics
1 answer:
lions [1.4K]2 years ago
6 0

Check the picture below.  so, that'd be the triangle's sides hmmm so let's use Heron's Area formula for it.

~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{15}~,~\stackrel{y_2}{15}) ~\hfill a=\sqrt{[ 15- 10]^2 + [ 15- 5]^2} \\\\\\ ~\hfill \boxed{a=\sqrt{125}} \\\\\\ (\stackrel{x_1}{15}~,~\stackrel{y_1}{15})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{9}) ~\hfill b=\sqrt{[ 30- 15]^2 + [ 9- 15]^2} \\\\\\ ~\hfill \boxed{b=\sqrt{261}}

(\stackrel{x_1}{30}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{5}) ~\hfill c=\sqrt{[ 10- 30]^2 + [ 5- 9]^2} \\\\\\ ~\hfill \boxed{c=\sqrt{416}} \\\\[-0.35em] ~\dotfill

\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=\sqrt{125}\\ b=\sqrt{261}\\ c=\sqrt{416}\\ s\approx 23.87 \end{cases} \\\\\\ A\approx\sqrt{23.87(23.87-\sqrt{125})(23.87-\sqrt{261})(23.87-\sqrt{416})}\implies \boxed{A\approx 90}

You might be interested in
Then determine which answer
shtirl [24]

Answer:

B.

Step-by-step explanation:

The graph that is going to show the function, has two parts: one for numbers equal or less than 3 and the other for numbers greater than 3

Then, for x≤3, the function is f(x) = 4. This is a constant so the graph is a horizontal line.

Additionally, for x>3, the function is f(x)=12x. This is a straight line with a positive slope.

So, the answer that follows these 2 conditions is B.

3 0
3 years ago
How might you use multiple reflections to describe a translation?
andre [41]

Answer:

from one language to another

Step-by-step explanation: or in math In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. In Euclidean geometry a transformation is a one-to-one correspondence between two sets of points or a mapping from one plane to another.

4 0
3 years ago
Use benchmarks to estimate 16.8-5.94
Sunny_sXe [5.5K]
The estimated answer is 11. First you round 16.8 to 17 because the decimal is above 5. Then you round 5.94 to 6 because the first decimal place is greater than 5. Lastly you subtract 17 minus 5 to get 11.
7 0
3 years ago
Part 1: Determine the domain.<br> DOMAIN:
DochEvi [55]

Answer:

The domain is -2 to positive 2.

5 0
3 years ago
12x-3y=-3 6x+y=1<br><br>Solving systems​ of equations
Nana76 [90]
The answer and the process is shown in the following picture

5 0
2 years ago
Read 2 more answers
Other questions:
  • At 2.15 pm and leaves at 4.45 pm on Thursday
    6·1 answer
  • Which is greater, less than, or equal to. 6 pints is _______ 60 fluid ounces
    8·2 answers
  • Jodi owns 112 shares of stock selling for $16.20. How many more shares can she purchase after receiving a dividend of $0.80 per
    8·1 answer
  • Find the range of the function rule y=5x−2 for the domain.{−12, 14, 25}
    9·2 answers
  • What is the y-intercept of the line that passes through the points (2, -1) and (-3, 9)?
    11·1 answer
  • I need help please ):
    14·1 answer
  • Algebra 2<br> -13y^2 + 36 = -y^4
    14·1 answer
  • For friends went to a restaurant in bought Two large pizzas and if each pay 5.25 how much was each pizza
    12·1 answer
  • If f(x) = 2x ^ 2 - 5 and g(x) = x ^ 2 - 4x - 8 find (f - g)(x)
    14·1 answer
  • IF YOU ANSWER FIRST ILL GIVE BRAINLYEST
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!