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
notka56 [123]
3 years ago
5

What is the length of the diameter of a circle inscribed in a right triangle with the length of hypotenuse c and the sum of the

legs' lengths equal to m?
Mathematics
1 answer:
jeyben [28]3 years ago
5 0

Answer:

  diameter = m - c

Step-by-step explanation:

In ΔABC, let ∠C be the right angle. The length of the tangents from point C to the inscribed circle are "r", the radius. Then the lengths of tangents from point A are (b-r), and those from point B have length (a-r).

The sum of the lengths of the tangents from points A and B on side "c" is ...

  (b-r) +(a-r) = c

  (a+b) -2r = c

Now, the problem statement defines the sum of side lengths as ...

  a+b = m

and, of course, the diameter (d) is 2r, so we can rewrite the above equation as ...

  m -d = c

  m - c = d . . . . add d-c

The diameter of the inscribed circle is the difference between the sum of leg lengths and the hypotenuse.

You might be interested in
Natasha is making curtains. Each set of curtains uses 8 yards of fabric. She has 61 yards of fabric. How much fabric will be lef
Nina [5.8K]

Answer:

43

Step-by-step explanation:

didi it

5 0
2 years ago
Read 2 more answers
Which point is on the graph of the following function rule: y-7-5x
Grace [21]
The answer is A cuz - +- = +
6 0
3 years ago
Tan (-3pi/2) what is the value
Andreas93 [3]
<span>tan<span>(<span><span><span>(<span>−3</span>)</span><span>(3.141593)</span></span>2</span>)</span></span><span>=<span>tan<span>(<span><span>−9.424778</span>2</span>)</span></span></span><span>=<span>tan<span>(<span>−4.712389</span>)</span></span></span><span>=<span>−<span>5443746451065123</span></span></span>
5 0
2 years ago
In circle o, which term does not describe PR
LuckyWell [14K]
The answer is C Radius because look o. the outside it's clearly bigger
8 0
3 years ago
Heyyy please help FACTORISE (x-x)​
ratelena [41]

Answer:

The answer is death :/

LOL JK JK JK

The answer is 0

Brainiliest tho?

8 0
2 years ago
Other questions:
  • If there was 17 boys and21 girls what would be the ratio
    7·1 answer
  • Solve logx = -3 by changing it to exponential form.
    6·2 answers
  • What is 1/5(x-2)=10 wats the value of x
    11·2 answers
  • Karen has 228 left to pay on her car next month how much should she put aside from each week's pay there are 4 weeks in a month?
    7·1 answer
  • Factor completely : 100 z^2-16y^2
    12·1 answer
  • $600 is invested for a year. If the yearly interest rate
    6·1 answer
  • For f(x)=-3x/5+1,f(-20)
    12·1 answer
  • Select the correct answer from each drop-down menu.
    6·1 answer
  • WILL MARK!! pls help:) <br> Find x and y so that ABCD will be a parallelogram.
    11·1 answer
  • Funke gets #2.50 as pocket money. She spends 75 k and saves the rest. What is the ratio of her savings to the amount she spends?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!