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
Angelina_Jolie [31]
2 years ago
13

If A= (6,11), B= (1,5), and C= (7,0), show by means of slopes that ABC is a right triangle. Name the hypotenuse.

Mathematics
1 answer:
nexus9112 [7]2 years ago
6 0

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

<h3>Right angled triangle</h3>

A right angles triangle is a triangle that has 3 sides and angles with one of its angles to be 90 degrees.

For the given coordinates to be a right angled triangle, one of the line must be perpendicular to the other and for two lines to be perpendicular, the product of its slope must be -1.

Find the slopes of AB, BC and AC

Slope of AB = 5-11/1-6
Slope of AB = -6/-5 = 6/5

Slope of BC = 0-5/7-1
Slope of BC = -5/6

Slope of AC = 0-11/7-6
Slope of AC = -11/1. = -11

Take the product of AB and BC
AB * BC = 6/5 * -5/6
AB * BC = -1

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

Learn more on right angle triangle here: brainly.com/question/22790996

#SPJ1

You might be interested in
Who can help me ????.<br>instruction find the missing length.​
djverab [1.8K]

Answer:

19 is the answer i think.

7 0
3 years ago
Use the formula to solve the problems.
Ber [7]

Answer:

$4,309.12

Step-by-step explanation:

The computation of the interest earned is given below:

But before that the amount would be

Amount = Principal × (1 + rate of interest)^number of years

= $6,000 × (1 + 0.07)^8

= $6,000 × 1.07^8

= $10,309.12

Now the interest earned is

= Amount - principal

= $10,309.12 - $6,000

= $4,309.12

3 0
3 years ago
Find the LCM of this set of numbers.<br> 135 and 225
Gennadij [26K]

Answer:675

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Help meee!!!!!!!! I need this to graduate!!!!!!!
Pie

Answer:

• Slope is the derivative of the function:

{ \rm{f(x) =  {x}^{3}  + 3 {x}^{2} + 3x + 1 }} \\  \\ { \tt{ \frac{dy}{dx}  = 3 {x}^{2} + 6x + 3 + 0 }}

• At, x = 0

{ \tt{ \frac{dy}{dx}  = 3 {(0)}^{2}  + 6(0) + 3}} \\  \\ { \boxed{ \tt{slope = 3}}}

3 0
2 years ago
Read 2 more answers
Plsss help meee!!!!!!​
Lina20 [59]

Answer:

  • given below

Step-by-step explanation:

1)

total area = rectangle area + 2 triangle area

                =  length * width = 2 ( \frac{1}{2} * base * height )

                =  7.5 * 6 + 2 (  \frac{1}{2} * 3 * 4 )

                = 57 ft²

2)

separate it into two rectangles:

length * width + length * width

  6  *   2  +  9 * 4

      48 cm²

3)

parallelogram area =  base * height

                                = 20 * 25

                                 = 500 in²

6 0
2 years ago
Other questions:
  • WILL GIVE BRAINLIEST!! A student government has 5 positions to fill and there are 9 candidates running for any one of the positi
    5·1 answer
  • When estimating the number of spheres contained in a prism we should account for the empty space between the spheres. To do this
    11·1 answer
  • Write 12 2/3% as a fraction in simplest form
    14·1 answer
  • Factor. Check by multiplying.<br> x^2 - 3x
    15·2 answers
  • Someone please help me out
    9·1 answer
  • Why can't you calculate the output for rule 6 when the input is −6? Explain.
    6·1 answer
  • С
    10·1 answer
  • Which statements are true about the trigonometric ratios of this triangle​
    9·1 answer
  • Simplify. e^(in x)=, e^(in 5)=, e^(in 3x)=
    11·1 answer
  • (7-4) + 17 / -14 + 2 x 5
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!