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]
2 years ago
13

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

Mathematics
1 answer:
REY [17]2 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
Suppose a researcher studying health issues measures blood pressure and the percentage of body fat for several adult males and f
slamgirl [31]

Answer:1) hypertension

2) cardiovascular Risk Factor

3) Obesity

Step-by-step explanation:

They all have to do with effective flow of blood in the body system

6 0
2 years ago
800 is 10 times as much as
Anon25 [30]
80 because 800= 10 x 8
3 0
3 years ago
Which element of variation would not be affected by adding the data value 15 to the data set {3, 5, 6, 8, 9, 10, 13, 14}? A. the
Gwar [14]
B. The median of the data set

**Update; A. The lower quartile**
See other answer for explanation. 
8 0
3 years ago
Read 2 more answers
You ride your skateboard to school and tell all your friends you rode at a speed of 25 mph. They know this cannot he true becaus
andrew-mc [135]
<span>The distance between your house and school and how long it took you to get there</span>
7 0
3 years ago
What is the square of 9?
Artemon [7]

Answer:

3

Step-by-step explanation:

sqrt9 = 3

8 0
3 years ago
Read 2 more answers
Other questions:
  • In two days, 48,000 gallons of oil gushed out of a well. At what rate did the oil flow from the well?
    14·2 answers
  • We draw a random sample of size 25 from a normal population with variance 2.4. If the sample mean is 12.5, what is a 99% confide
    9·1 answer
  • PLZZZ HELP ME I NEED HELP AND I HAVE A TIMER AND I WILL GIVE YOU BRAINLEST
    14·2 answers
  • Bob's Bakery makes 12 cakes and 36 muffins each hour.
    10·1 answer
  • Euleuy VI, Ulalla PUSIUI 407220)
    7·1 answer
  • Multiply or divide as indicated.<br> 5a2.6a4
    10·2 answers
  • 2[32-(4-1)³] answer.​
    6·1 answer
  • Find the inverse of g(x)=2x-3
    10·1 answer
  • Constance is saving money to buy a new bicycle that costs $225.75. She already has $70 saved and plans to save $8 each week. How
    7·2 answers
  • Second derivative of -2x^2+2/(x^2+1)^2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!