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
Dominik [7]
3 years ago
12

The length of the hypotenuse of a right triangle is 24. If the length of one leg is 8, what is approximate length of the other l

eg.
Mathematics
1 answer:
Verdich [7]3 years ago
4 0

Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.

Now, Pythagoras' Theorem is defined as follows:

c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:

c^2 = a^2 + b^2

24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)

b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)

b = √(24^2 - 8^2) (Take the square root of both sides)

b = √512 (Evaluate 24^2 - 8^2)

b = 16√2 (Simplify √512)

= 22.627 (to three decimal places)

I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.

You might be interested in
What is 1,207.43% times 83.53$
Sati [7]

Answer:

1 008.56628 US$ kkkkkkkkkk

4 0
2 years ago
Read 2 more answers
The next number in the series 13, 18, 16, 21, 19, is:  <br> 22<br> 23<br> 24<br> 25<br> 26 ...?
Lesechka [4]
I think the best option is 24.

7 0
2 years ago
What are the odd numbers
Ivan

Answer:

1,3,5,7,9....up to soon are odd numbers

Step-by-step explanation:

they are not divided by 2

4 0
3 years ago
Read 2 more answers
2,12,8 = 15<br>6, 14,4= 35<br>3,63,7= X​<br>FIND X
Karolina [17]

678899_778886282882

Step-by-step explanation:

hehw

4 0
3 years ago
Combine like terms 2x - 3 - 2y - 4x + 2y + 5​
labwork [276]

Answer:

-2x + 2

Step-by-step explanation:

2x - 3 - 2y - 4x + 2y + 5

2x - 4x + 2y - 2y + 5 - 3

-2x + 2

3 0
3 years ago
Other questions:
  • Why are jobs in the labor market outsourced from the United States to other countries such as Mexico and India?
    11·1 answer
  • Does x = 1.6 satisfy the equation 6 - 4x = -x/4, thank you
    13·2 answers
  • Am I correct?? I did not count the last square unit at the vertices of each corner.
    10·1 answer
  • Please help me, I need help I don’t know what to do. Last question.
    11·2 answers
  • X divided by six eqauls twentyfive<br><br> x/6=25
    13·2 answers
  • What are the intercepts of the line?
    5·2 answers
  • One hour is equal to how many seconds? Remember, 1 hour = 60 minutes and 1 minute = 60 seconds.
    15·2 answers
  • What would the x and y intercept for the following question? 5x+10y=20
    14·1 answer
  • A rhombus has sides of length x + 6 inches and a perimeter of 49 inches. Which equation represents this situation?​
    11·2 answers
  • A rectangular field has a perimeter of 300m. What is the area of the field if the length of the field is twice the width of the
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!