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
ASHA 777 [7]
3 years ago
6

A circle with radius r is inscribed into a right triangle. Find the perimeter of the triangle if the length of the hypotenuse is

24 cm and r=4 cm;

Mathematics
2 answers:
tankabanditka [31]3 years ago
5 0

Answer: 56

Step-by-step explanation:

4=(a+b-24)/2

32=a+b

32+24=56

lbvjy [14]3 years ago
3 0

Answer:

The perimeter of the triangle is 56 cm.

Step-by-step explanation:

Given:

The length of the hypotenuse is 24 cm

Radius of the circle r=4 cm

To Find:

The perimeter of the triangle=?

Solution:

Let us see the below diagram representing situation.  

Here, first we have drawn the radius of circle perpendicular to the sides of triangle,

We have Taken PB = 4 because, it is a side of square formed there, and we take OC as x.

Then, QC also becomes x as they are tangents from single point, so they are equal.

Now, AQ becomes 24 – x as AC is 24 according to given information.

So, perimeter = AB + BC + CA  

Perimeter = (24 – x + 4) + (4 + x) + (24 – x + x)

Perimeter = 28 – x + 4 + x + 24  

Perimeter = 28 + 28 = 56

Hence, the perimeter of the triangle is 56 cm.

You might be interested in
What is a factor of 98
ziro4ka [17]

Answer: The factors of 98 are 1, 2, 7, 14, 49, 98


Step-by-step explanation:

1 x 98 = 98, 2 x 49 = 98, 7 x 14 = 98, 14 x 7 = 98, 49 x 2 = 98


Hope this helps fren <3

8 0
3 years ago
S’tone anyone know this by chance ?!!!
kenny6666 [7]

Answer: 3

Step-by-step explanation:

8 0
3 years ago
HELP!<br>What is the distance between points (6, -9) and (-3, 4)?​
ra1l [238]

Answer:

4 or \sqrt{250}

Step-by-step explanation:

I used M a t h w a y. it's really helpful. Good luck.

7 0
3 years ago
What is the distance between the point (−10, −2) and the point (−4, −2)?
Reika [66]
6

sorry it's late but hopefully it can help someone else

3 0
3 years ago
Read 2 more answers
Simplify (8^4/10^4)^-1/4using rational exponents
Vlad1618 [11]

Answer:

   (\frac{8^4}{10^4} )^{-\frac{1}{4} }  = \frac{5}{4}

Step-by-step explanation:

<u><em>Explanation</em></u>

Given  

       (\frac{8^4}{10^4} )^{-\frac{1}{4} }

By using algebra formulas

  (\frac{a}{b} )^{m} = \frac{a^m}{b^n}

(\frac{8^4}{10^4} )^{-\frac{1}{4} } = \frac{(8^{4})^{\frac{-1}{4} }  }{(10^{4} )^{\frac{-1}{4} } }

(a^{m} )^{n} = a^{mn}

\frac{(8^{4})^{\frac{-1}{4} }  }{(10^{4} )^{\frac{-1}{4} } } = \frac{8^{4X\frac{-1}{4} } }{10^{4 X\frac{-1}{4} } }

          = \frac{8^{-1} }{10^{-1} }

           = \frac{10}{8} \\= \frac{5}{4}

<u><em>Final answer:-</em></u>

 (\frac{8^4}{10^4} )^{-\frac{1}{4} }  = \frac{5}{4}

7 0
3 years ago
Other questions:
  • If there are 736 students in a school, prove that at least three students have a birthday on the same day of the year.
    15·1 answer
  • Ms. Moore is purchasing a house and needs to finance a $150,000 mortgage from the bank with an annual percentage rate (APR) of 3
    15·1 answer
  • Find the next term for the following sequence 9,6,4
    9·1 answer
  • Shanice had $20 to spend on seven raffle tickets. After buying them she had $6. How much did each raffle ticket cost?
    13·2 answers
  • What is the range of the following graph?
    6·1 answer
  • -2/3x + 9 = 4/3x -3​
    13·2 answers
  • A fruit bowl is shaped like half of a sphere. The radius of the bowl is 15 cm.
    10·1 answer
  • Which is the ordered pair for y&gt;5x-2
    11·1 answer
  • Rewrite using the Distributive Property: 3x(4+6)
    8·1 answer
  • Pls help, if u put a link I will report
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!