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
V125BC [204]
3 years ago
5

a right angle triangle has the perimeter of 96cm. the length of its sides are in the ratio of 6:8:10. work out the area of the t

riangle
Mathematics
2 answers:
deff fn [24]3 years ago
6 0

Answer:

Area = 384 cm²

Step-by-step explanation:

Perimeter = 96 cm

Ratio = 6:8:10

So,

6x+8x+10x = 96

=> 24x = 96

<u><em>Dividing both sides by 24</em></u>

=> x = 4

So, The sides are

=> 24 cm

=> 32 cm

=> 40 cm

<u><em>Now the area using Heron's Formula</em></u>

Area = \sqrt{s(s-a)(s-b)(s-c)}

Where s is the semi-perimeter = 48 cm, a , b and c are the sides

Area = \sqrt{48(48-24)(48-32)(48-40)}

Area = \sqrt{48(24)(16)(8)}

Area = \sqrt{147,456}

Area = 384 cm²

Solnce55 [7]3 years ago
4 0

Answer:

384 centimeters squared.

Step-by-step explanation:

96/(6+8+10)

96/24 = 4

6×4 : 8×4 : 10×4

24:32:40

The length of its sides are in the ratio of 24:32:40

The longest side is the hypotenuse which is 40.

The area is base × height × 1/2 of a triangle.

32 × 24 × 1/2

768 × 1/2

=384

The area of the triangle is 384 cm squared.

You might be interested in
The height H of a skydiver t seconds after jumping. Let T be the independent variable, and assume the skydiver jumps from a heig
Rina8888 [55]

Answer:

25 seconds

Step-by-step explanation:

Skydiving.  

height (in feet) above the earth=h(t)= -16t^2 + 10,000

the time it would take to fall when h is 0  

-16t^2 + 10,000=0

-16t^2=-10000

16t^2=10000

t^2=10000/16=625

t=sqrt 625=25 seconds

6 0
3 years ago
An algebraic expression that represents the product of r cubed and one hundred seven.
Nadya [2.5K]

Answer:

107r³

Step-by-step explanation:

4 0
3 years ago
Please help me I will reward brainlest
nikklg [1K]

C, the sum of the decimals is greater than one, meaning they shade more than one.

4 0
3 years ago
Read 2 more answers
What is the constant term in the expansion of the binomial (x − 2)^4?
Marianna [84]

Answer:

the answer is a i think





3 0
3 years ago
Cristina has completed .4 of his test. The test has 40 questions total. if he completes 12 more how many more will he have left?
bixtya [17]

24 because she already completed four and if she completes twelve more that that will be 24 hope that helps


5 0
3 years ago
Other questions:
  • How do you know whether a function is going to be horizontally stretched or compressed or vertically stretched or compressed wit
    14·1 answer
  • The diameter of a circular rug is 5.6 feet. What is the radius?
    13·2 answers
  • Please please please help!! ASAP
    12·1 answer
  • The owner of a dress shop ordered 33 dresses from a new designer. The designer's dresses now make up to 30% of all dresses in th
    8·1 answer
  • A sector with a central angle measure of 4pi/5
    8·2 answers
  • Five surf shops sell the same pair of flip-flops for the following prices: $17.00, $15.50, $15.00, $18.00, $15.00. Find the mean
    5·2 answers
  • The Vertices of a parallelogram are A(-2, 6), B(3, 7), C(6, 2), and D(1, 1). The diagonals intersect at point P. what are the co
    12·1 answer
  • Find the inverse function of f(x)=15x-1
    5·1 answer
  • PLEASE help me this is due tomorrow!!
    14·1 answer
  • 25 pts, please help ASAP
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!