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
Gnesinka [82]
3 years ago
10

[4] what is the largest possible area for a right triangle whose hypotenuse is 5cm long, and what are its dimensions? 25

Mathematics
1 answer:
maria [59]3 years ago
4 0
Let the base and height of the right triangle be b and h respectively.

Then the area of the triangle (which is to be maximized) is

A = bh/2.  Draw the triangle with the right angle positioned at the origin, in the first quadrant.

We are told that the hypotenuse is 5 cm.  Then 

b^2 + h^2 = 25 cm^2 must be true.  Alternatively, b = sqrt(25-h^2).

We want to meximize the area of this triangle.  In other words, maximize

A = (b)(h)/2, or, equivalently, maximize A = [sqrt(25-h^2)](h)/2.

Maximize A by differentiating the above formula for A with respect to h and finding the critical value for h.  Once you have that h value, calculate the corresponding b value and find the max area via    A = bh/2.

You might be interested in
Find the missing numbers. what is the rule? <br><br>​
rjkz [21]

Answer:

I think that Rule: xn = n2

8 0
2 years ago
Please help me and explain! (1 and 2)​
Ad libitum [116K]

1 is 384cm you multiply the 96 by 4 (because there is 96 4 times)

If I’m incorrect I’m sorry

8 0
2 years ago
I dont understand this
kirza4 [7]

Step-by-step explanation:

first u find the angles and then u use some low divide the length of triangle by sin of opposite angles

4 0
3 years ago
√(5-22(√5)+121)<br> Simplify and show your steps
JulijaS [17]
The answer would be 8.7639
7 0
3 years ago
Is 18-35 an expression or an equation
allsm [11]

Answer:

It is an expression

Step-by-step explanation:

An equation needs to have an equal sign in it and 18-35 doesn't  have an equal sign

Hope this helps!! :)

6 0
3 years ago
Read 2 more answers
Other questions:
  • WILL GIVE BRAINLIEST 100% FOR SURE IF RIGHT
    6·2 answers
  • 36.00 with a 7% sales tax
    11·1 answer
  • Pls give me the correct answer.<br> -4(x-5)-22= -2
    10·2 answers
  • According to a random sample taken at 12​ A.M., body temperatures of healthy adults have a​ bell-shaped distribution with a mean
    14·1 answer
  • Solve the equation x-4-3x=-2x-3-1
    7·1 answer
  • There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 peop
    5·1 answer
  • Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 2 1 cannot be determined
    15·1 answer
  • ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
    13·1 answer
  • Jade paints a circular table that has a diameter of 37 inches. What is the area of the table? Show all work.
    9·1 answer
  • The function f(x) = x2 is shifted up five units. Which of the following function equations represents this translation?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!