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
Mariana [72]
3 years ago
12

How many different right triangles are there with a hypotenuse of lenght 5 cm

Mathematics
1 answer:
Sveta_85 [38]3 years ago
6 0

Answer:

Draw a horizontal line across a page of paper, somewhere in the middle. Mark a point A on the line, toward the left margin.

Spread open a compass to make good sized circle, but so that if the point of the compass is on the point you drew, the pencil fits on the page, both below the top edge and to the left of the right edge of the page. Draw the arc, from roughly the 12 O’Clock position over and down to the intersection of the line segment, at the 3 O’Clock position.

Call the opening of your compass, the radius of the arc you just drew, “5 units”.

Pick any point on the arc between the 12 and 3 positions, B. Drop a line down from that point B, perpendicular to the original horizontal line. Label the point that it intersects the horizontal line, C.

ABC is a right triangle with hypotenuse 5. Do this again with a point a little closer to the 3 O’Clock position. It’s another right triangle with hypotenuse 5.

Indeed, as you get closer to the right, along the arc, the height of the triangle declines, but the width of the triangle increases. The hypotenuse remains 5 in all cases. We picked points on the circle. We could have picked points on the horizontal line first, and raised perpendicular lines until they intersected the circle. Each point forms a distinct right triangle.

There are as many possible right triangles as there are possible points in a line segment.

Step-by-step explanation:

You might be interested in
A fuzzy sticker costs $.50 and an oily sticker costs $.75.
vesna_86 [32]
I’m kinda of confused on what you are doing but I’m think it’s .50k+.75m
6 0
3 years ago
Read 2 more answers
50 PoInts for math homework Waxton
Free_Kalibri [48]
Check out the attached photo

7 0
1 year ago
A professor wants to know how undergraduate students at X University feel about food services on campus, in general. She obtains
hammer [34]

Answer:

15000

Step-by-step explanation:

Given that a professor wants to know how undergraduate students at X University feel about food services on campus, in general. She obtains a list of email addresses of all 15,000 registered undergraduates from the registrar’s office and mails a questionnaire to 300 students selected at random.

Only 150 questionnaires are returned.

So the sample size changed to 150. But population is the number of registered undergraduates which do not change.

Population size = 15000

8 0
3 years ago
Which function represents the relationship between x and y?
zepelin [54]
The correct answer is c
3 0
3 years ago
Jason eats 10 ounces of candy in 5 days. How many pounds does he eat per day?
Anna007 [38]

Answer:

He eats 2 oz of candy every day.

Step-by-step explanation:

10oz divided by 5d equals 2 oz per day.

3 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE ANSWER CORRECTLY AND QUICKLY!~
    7·1 answer
  • 2y = 1/4<br><br> find the value of y
    15·2 answers
  • Lines CD and DE are tangent to circle A, as shown below:Lines CD and DE are tangent to circle A and intersect at point D. Arc CE
    14·1 answer
  • For leaving school to visit Mexico Levant traded 270 American dollars and received 3000 Mexican pesos. When he returned from Mex
    8·1 answer
  • Who knows what 0.976 + 0.99
    14·2 answers
  • 1500Tsh was divided amoung juma,anna and rose in ratio of 2:3:5 respectively.find how much each got?​
    13·1 answer
  • A hose can fill a swimming pool in 12 hours. Another hose needs 2 more hours to fill the pool than the two hoses combined. How l
    15·1 answer
  • Write an equation that represents the line.
    6·1 answer
  • Please helppp!!! Is the set of positive irrational numbers closed for the operation of division? If not, give a counter-example.
    12·2 answers
  • Monica’s lemon cookie recipe calls for 3 cups of sugar. How much much to make 4 1/2 Batches of cookies.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!