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
coldgirl [10]
3 years ago
10

The areas of similar triangles `DeltaABC` and `DeltaDEF` are equal. If the longest side of `DeltaDEF` measures 25 units, what is

the length of the longest side of `DeltaABC`?
Mathematics
1 answer:
Ganezh [65]3 years ago
3 0

If two triangles are similar, it means that one is the scaled version of the other.

In similar triangles, correspondant angles are the same, and correspondant lengts are all in the same ratio r. The ratio between the areas is r^2.

So, for example, if the scale ratio is r = 2, all sides of the new triangle are twice as long as the sides of the old one, and the area of the new one is r^2 = 4 times the area of the old one.

Since in this case the two areas are equal, their ratio is r^2 = 1. This implied that also r = 1, which means that also correspondant sides are equal.

In other words, these two triangles are not only similar, but congruent. This means that, in particular, all correspondant sides have same length, so the longest side of ABC has a length of 25 as well.

You might be interested in
A square postage stamp has area 1280 mm. About how long is each​ side?
Afina-wow [57]

Answer:

Each side is 35.78 mm

Step-by-step explanation:

A square would have 4 equal sides.  Since area of a square is x^2, where x is one side, we can write:

x^2 = 1280

x = 35.78 mm

Each side is 35.78 mm

7 0
2 years ago
Find the domain and range of the function, f(x)= √sin x
NNADVOKAT [17]

Answer:

( − ∞ , ∞ )

Step-by-step explanation:

6 0
3 years ago
Does Biased mean random or not random?
mote1985 [20]
Biased most likely means not random in this context. The actual definition is "unfairly prejudiced for or against someone or something"
7 0
3 years ago
Read 2 more answers
What is the domain of the given function? {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
Zolol [24]
The answer is D
Hope this helps
3 0
3 years ago
Read 2 more answers
Help please explain quick!
nalin [4]

Answer: my Face bone A** tight cheerio from last night hit them with that good good make him want to act right Thank me and brain

List to me

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Alex is paid $30/hr at full rate, and $20/hr at a reduced rate. The hours of work are paid at a ratio of 2:1, full rate : reduce
    5·1 answer
  • Help ASAP! image below.
    11·1 answer
  • If your teacher gave you instruction for constructing a regular pentagon inscribed in a circle, you would expect the pentagon to
    9·1 answer
  • A new episode of Charlie's favorite TV series will be aired 25 minutes after Charlie gets home from school. Which method should
    13·2 answers
  • What is the greatest common monomial factor of this polynomial? 21x4y5z+28x2y4z4 Enter your answer in the box.
    8·1 answer
  • What's the answer..............
    6·1 answer
  • The men s clothing buyer had a group of 50 jackets priced at $250 each that was selling very slowly. To stimulate sales of these
    6·1 answer
  • FEE
    14·1 answer
  • Jen is on the platform of her boat. She sights the top of a lighthouse at an angle of 30° as shown below. She knows that the hei
    7·1 answer
  • 2. Alexis bought four jars of pickles. The total mass of the four jars was 12 kilograms. What is the mass, in grams, of each jar
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!