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
Likurg_2 [28]
3 years ago
13

Prove that the median to the hypotenuse of a right triangle is half the hypotenuse,

Mathematics
1 answer:
REY [17]3 years ago
7 0

Answer:

D. 2

Step-by-step explanation:

M(0,2b)

N(2a,0)

Then the midpoint P coordinates are

P\left(\dfrac{2a+0}{2},\dfrac{0+2b}{2}\right)\Rightarrow P(a,b)

Use distance formula to find OP and MN:

OP=\sqrt{(a-0)^2+(b-0)^2}=\sqrt{a^2+b^2}\\ \\MN=\sqrt{(2a-0)^2+(2b-0)^2}=\sqrt{4a^2+4b^2}=2\sqrt{a^2+b^2}

So,

MN=2OP

or

OP=1/2 MN

Click to let others know, how helpful is it

You might be interested in
I need some Help please!?
Nadya [2.5K]
Hello!  :))

So all you have to do is <em>add</em> the <em>numerator</em> to get a total of 4/5. 


Hope this helps!!
6 0
3 years ago
Read 2 more answers
WILL<br><br><br> GIVE <br><br> BRAINLIST <br><br> ANSWERS
enot [183]

Answer:

-10

-I-8I = -8

-(-2) = 4

I-11I  = 11

5² = 25

Answer: -10, -8, 4, 11, 25

6 0
3 years ago
50 POINTS HURRY will give brainliest
Reptile [31]

Answer:

Step-by-step explanation:

6x + 5x + 26.5 + 7x - 8 + 4x+21.5+5x+19+10x+13.5 = 720

37x + 72.5 = 720

37x = 647.5

x = 17.5

Vertices = 105 deg, 114 deg, 114.5 deg, 91.5 deg, 106.5 deg, 188.5 deg

7 0
2 years ago
Solve for x: V x + 6 = 7​
MrRissso [65]

Answer:

x > 0, if not 4/x < 0

0 < 4/x < 6/7

0 < 28/x < 6

0 < 28 < 6x

0 < 4 2/3 < x

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What numbers you multiply to get 189?
QveST [7]
The factors of 189 are: 1, 3, 7, 9, 21, 27, 63, 189.

1 × 189 = 189
3 × 63 = 189
7 × 27 = 189
9 × 21 - 189

3 0
3 years ago
Other questions:
  • Katrina drinks 0.5 gallons of water per day which expression shows how to find the number of cups of water she drinks in a week
    10·2 answers
  • 4 sin(2x) = 4 cos(x)
    9·1 answer
  • PLEASE HELP ME ASAP
    13·1 answer
  • FIRST TO ANSWER, would be marked as brainliest:)
    14·2 answers
  • The margin of error ________ (increases or decreases) with an increased sample size and ________ (increases or decreases) with a
    7·1 answer
  • Is 0.90090009 an irrational number
    9·1 answer
  • If an item is on sale for 10% off and you know you will need to pay a 10% tax, will the final price of the item be less than, gr
    12·2 answers
  • A bag contains 3 red cubes, 4 yellow cubes, and 3 green cubes. You choose a cube without looking, note its color, and put the cu
    12·2 answers
  • What is the surface area of the rectangular prism?
    13·1 answer
  • Which ordered pair is a solution of the inequality
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!