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
Sholpan [36]
2 years ago
8

Find the measure of the sides of angle ABC with vertices A(1,5), B(3,-2), and C(-3,0). Classify the triangle

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

Answer:

AB=\sqrt{53},\ BC=\sqrt{40},\ CA=\sqrt{41}\\It\ is\ an\ acute\ triangle

Step-by-step explanation:

The distance between two points (x_1,y_1),\ (x_2,y_2) is given by \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

Here A(1,5),\ B(3,-2),\ C(-3,0) are the vertices of a triangle.

AB=\sqrt{(-2-5)^2+(3-1)^2}=\sqrt{(-7)^2+(2)^2}=\sqrt{49+4}=\sqrt{53}=7.28\ unit\\\\BC=\sqrt{(0+2)^2+(-3-3)^2}=\sqrt{(2)^2+(-6)^2}=\sqrt{4+36}=\sqrt{40}=6.32\ unit\\\\CA=\sqrt{(5-0)^2+(1+3)^2}=\sqrt{(5)^2+(4)^2}=\sqrt{25+16}=\sqrt{41}=6.40\ unit

Longest side=AB

AB^2=53\\BC^2+CA^2=40+41=81\\\Rightarrow AB^2

Hence this is an acute triangle.

You might be interested in
The coefficient of the term 76x2 is: <br><br> (2 is the exponent of 76x)
Lady_Fox [76]
The definition of a coefficient is the number BEFORE the variable. So in 76x^2, the coefficient is 76.<span>
</span><span>
</span>
6 0
3 years ago
Find the total surface area of the figure
liberstina [14]

Answer:2237

Step-by-step explanation: 22000 +4484

4 0
2 years ago
-7x - 2y = 19<br> 4x + y = -12<br> Solve the system
nalin [4]

-7x - 2y = 19

4x + y = -12

Set y equal to each other (opposite signs are fine and you could also set x equal instead of y)

-7x - 2y = 19

8x + 2y = -76

Add equations together

x = -52

Plug x value into an equation

4(-52) + y = -12

Solve for y

-208 + y = -12

y = 196

Hope this helps! ;)

4 0
3 years ago
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen
Svetllana [295]
Hello,

\left \{ {{3x+2y=-21} \atop {x-3y=4}} \right. \\\\&#10; \left \{ {{3x+2y=-21} \atop {x=4+3y}} \right. \\\\&#10; \left \{ {{3(4+3y)+2y=-21} \atop {x=4+3y}} \right. \\\\&#10;&#10; \left \{ {{12+9y+2y=-21} \atop {x=4+3y}} \right. \\\\&#10; \left \{ {{12+11y=-21} \atop {x=4+3y}} \right. \\\\&#10; \left \{ {{11y=-21-12} \atop {x=4+3y}} \right. \\\\&#10; \left \{ {{11y=-33} \atop {x=4+3y}} \right. \\\\&#10; \left \{ {{y=-3} \atop {x=4+3(-3)}} \right. \\\\&#10; \left \{ {{y=-3} \atop {x=5}} \right. \\\\&#10;Sol=\{(5,-3)\}\\\\&#10;&#10;&#10;&#10;
3 0
3 years ago
F the point (a, 7) lies on the graph of the equation 5x - y = 8, then a=
Ghella [55]
(a,7) lies on the equation of 5x-y=8, that means we solve for x when y=7.

5x-(7)=8
5x=8+7=15
x=3
=>
a=3
7 0
3 years ago
Other questions:
  • There’s a picture attached xox
    7·1 answer
  • Number 35 plz and thank you ☺️ worth 25 points
    15·2 answers
  • ∠x and ∠y are supplementary angles ∠y measures 142 what is the measure of x
    13·1 answer
  • a. What are the expected returns of the two​ stocks? b. What are the standard deviations of the returns of the two​ stocks? c. I
    9·1 answer
  • Find a closed-form solution to the integral equation y(x) = 3 + Z x e dt ty(t) , x &gt; 0. In other words, express y(x) as a fun
    8·1 answer
  • Identify a pair of factors of -35 that has a sum of -2
    14·2 answers
  • The diagram below shows a model of four waves. An image of four waves labeled W, X, Y, Z is shown. Wave W has the smallest dista
    10·1 answer
  • Please help me please
    10·1 answer
  • Help pleaseeeee asapppp!
    9·2 answers
  • Anymore can solve this?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!