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
pogonyaev
3 years ago
5

On a coordinate plane, triangle A B C is shown. Point A is at (0, 0), point B is at (3, 4), and point C is at (3, 2). What is th

e area of triangle ABC?
Mathematics
2 answers:
Elena L [17]3 years ago
7 0

Answer:

The area of triangle for the given coordinates is  1.5\sqrt{4.6}

Step-by-step explanation:

Given coordinates of triangles as

A = (0,0)

B = (3,4)

C = (3,2)

So, The measure of length AB = a = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Or, a = \sqrt{(3-0)^{2}+(4-0)^{2}}

Or, a =  \sqrt{9+16}

Or, a =   \sqrt{25}

∴ a = 5 unit

Similarly

The measure of length BC = b = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Or, b = \sqrt{(3-3)^{2}+(2-4)^{2}}

Or, a =  \sqrt{0+4}

Or, b =   \sqrt{4}

∴ b = 2 unit

And

So, The measure of length CA = c = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Or, c = \sqrt{(3-0)^{2}+(2-0)^{2}}

Or, c =  \sqrt{9+4}

Or, c =   \sqrt{13}

∴ c = \sqrt{13} unit

Now, area of Triangle written as , from Heron's formula

A = \sqrt{s\times (s-a)\times (s-b)\times (s-c)}

and s = \frac{a+b+c}{2}

I.e  s = \frac{5+2+\sqrt{13}}{2}

Or. s =  \frac{7+\sqrt{13}}{2}

So, A = \sqrt{(\frac{(7+\sqrt{13})}{2})\times ((\frac{(7+\sqrt{13})}{2})-5)\times (\frac{7+\sqrt{13}}{2}-2)\times (\frac{7+\sqrt{13}}{2}-\sqrt{13})}

Or, A = \sqrt{(\frac{(7+\sqrt{13})}{2})\times (\frac{(\sqrt{13}-3)}{2})\times (\frac{4+\sqrt{13}}{2})\times (\frac{7-\sqrt{13}}{2})}

Or, A = \frac{3}{2} × \sqrt{1+\sqrt{13} }

∴  Area of triangle = 1.5\sqrt{4.6}

Hence The area of triangle for the given coordinates is  1.5\sqrt{4.6}  Answer

Naily [24]3 years ago
3 0

Answer:

3

Step-by-step explanation:

You might be interested in
A bag contains tiles of different colors. Roshan randomly selects a tile from the bag and returns the tile to the bag after reco
sweet [91]

Answer:

6/41

Step-by-step explanation:

6 + 7 + 20 + 8 = 41 so that is number of tiles he took. 6 of those were 41 so therefore, the chance is 6/41

7 0
2 years ago
Read 2 more answers
Over the last three evenings, Debra received a total of 110 phone calls at the call center. The second evening, she received 4 t
Elza [17]

Answer:

See below.

Step-by-step explanation:

Total = 110

Let calls on third evening = x

second evening = 4x

first evening = x + 8

=> x + 4x + x + 8 = 110

=> 6x = 102

=> x = 17

First evening = x = 17 calls

Second evening = 4x = 68 calls

Third evening = x + 8 = 25 calls

4 0
2 years ago
What is the proportion for x
Artist 52 [7]
12x15=18(3x+4)
180=54x+72
-72 -72
108=54x
/54 /54
2=x

X=2 the other person is a d0uche for answering like that so I answered instead of them
8 0
3 years ago
What problem makes 49
torisob [31]
45 + 4 makes 49 if that counts
6 0
3 years ago
7xy + 8z - 2z + 12xy + 10z
cestrela7 [59]

Answer:

19xy + 16z

Step-by-step explanation:

combine like terms

7xy +1 2xy= 19xy

8z - 2z + 10z = 16z

7 0
3 years ago
Other questions:
  • PLZ HELP 20 POINTS
    9·1 answer
  • Good Earth, a company manufacturing packaged food products, sets up its stores in Baltonia. However, a year later, the company c
    8·1 answer
  • Five oranges cost $2.Find the cost of two dozen oranges.
    15·2 answers
  • The total profit (in thousandsof dollars)from the sale of x hundredthousandautomobile tiresis approximatedby
    13·1 answer
  • Aaron estimated that 148% of 333 is 495
    5·2 answers
  • USE ESTIMATION Mr. Lycan is considering buying clay from two art supply companies. Company A sells 50-pound containers of clay f
    6·1 answer
  • An integer is between -4 and -19. It is twice as far from -4 as it is from -19. What is the integer? SHOW ALL YOUR STEPS**
    8·2 answers
  • Three ropes of length 2 m 84 cm, 4 m 26 cm and 7 m 10 cm are to be cut into small pieces of equal length. What is the greatest p
    12·2 answers
  • I cant wrap my head around this
    12·1 answer
  • X : 18 : 30 =36 : 27 : y, find the value of x and y
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!