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
jenyasd209 [6]
3 years ago
7

The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of

these triangle?
Mathematics
1 answer:
Kay [80]3 years ago
5 0

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of a^{2} :b^{2}

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50(13689 -234x+x^{2} )=32x^{2}

Distribute the left side

684450-11700x+50x^{2}=32x^{2}

Subtract both sides 32x^{2} and rewrite it 18x^{2} -11700x+684450=0

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

x^{2}-650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

You might be interested in
Mr Billy went to Acme Bread Co. and bought two loaves of bread for $6. Mr. Riddle went to Walmart and bought four loaves of brea
nydimaria [60]
1: billy bought 1 for 3 and riddle bought 1 for 5
2: acme bread had a lower price
3: I don’t get what you mean sorry
3 0
3 years ago
Read 2 more answers
If a rectangle JKLM, JK is equal to 12 feet, and LN is equal to 6.5 feet, find KM
Rus_ich [418]
12.5 feet is the answer.


8 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLEIST!! How many ounces of pure vinegar must be added to 80 ounces of a 10% solution to make a 25% solution? thx
asambeis [7]
Question 1132387: How many liters of a 10% solution should be mixed with 60L of 25% solution to get 15% solution? = one click in Excel = 120. ANSWER. 120 liters of the 10% solution.
6 0
2 years ago
What division problem has a 1-digit divisor and 2-digit dividend and the largest possible quotient
lisov135 [29]

Answer:

99/1=99

Step-by-step explanation:

7 0
2 years ago
Plz help!
vlabodo [156]

Answer:

$76.8

Step-by-step explanation:

As, So 20% of 64 will be the markup price.

So 20/100 x 64 = $12.8

Now Markup price = $12.8

And The retail price = markup price + original price = $12.8 + $64 = $76.8

5 0
3 years ago
Other questions:
  • What is 2(9x-1)+7(x+6)=-60
    8·1 answer
  • Help me I don't know the answer & im gonna fail
    9·1 answer
  • Hey can you please help me posted picture of question
    6·1 answer
  • I need help with this picture ? Please
    6·1 answer
  • PLEASE help! this is so difficult! i literally cannot solve it to save my effing life.
    7·1 answer
  • A retail sales associate's daily commission during
    6·1 answer
  • Whiskers the cat weighs 2 2/3 kg. Piglo weighs 4kg. For each question , write a myipulcation and a division equation, decide whe
    12·1 answer
  • Type an equation that can be used to solve for the missing angles. DO NOT SOLVE.
    8·1 answer
  • Vicky is a cook at a diner. Before the diner opened, she used 12 eggs to make a large frittata that will be sold by the slice. S
    15·1 answer
  • Help!?!!!???<br> x-14=20
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!