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
aalyn [17]
3 years ago
7

suppose someone tells you that she has a triangle with sides having lengths 2.6,8.1 and 8.6. Is this a right triangle? why or wh

y not? Is there an angle in the triangle larger than 90 degree?
Mathematics
1 answer:
sveta [45]3 years ago
3 0
If you're only provided with the lengths of a triangle, and you're asked to determine whether or not the triangle is right or not, you'll need to rely on the Pythagorean Theorem to help you out. In case you're rusty on it, the Pythagorean Theorem defines a relationship between the <em>legs</em> of a right triangle and its <em>hypotenuse</em>, the side opposite its right angle. That relationship is a² + b² = c², where a and b are the legs of the triangle, and c is its hypotenuse. To see if our triangle fits that requirement, we'll have to substitute its lengths into the equation.

How do we determine which length is the hypotenuse, though? Knowledge that the hypotenuse is always the longest length of a right triangle helps here, as we can clearly observe that 8.6 is the longest we've been given for this problem. The order we pick the legs in doesn't matter, since addition is commutative, and we'll get the same result regardless of the order we're adding a and b.

So, substituting our values in, we have:

(2.6)² + (8.1)² = (8.6)²

Performing the necessary calculations, we have:

6.76 + 65.61 = 73.96
72.37 ≠ 73.96

Failing this, we know that our triangle cannot be right, but we <em>do </em>know that 72.37 < 73.96, which tells us something about what kind of triangle it is. Imagine taking a regular right triangle and stretching its hypotenuse, keeping the legs a and b the same length. This has the fact of <em>increasing the angle between a and b</em>. Since the angle was already 90°, and it's only increased since then, we know that the triangle has to be <em>obtuse</em>, which is to say: yes, there's an angle in it larger than 90°.
You might be interested in
The figure is a parallelogram.one diagonal measures 28 units. Is the figure a rectangle? Explain
guajiro [1.7K]

Answer:

The parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.

Step-by-step explanation:

Given the parallelogram with sides 20 and 21 units with diagonal length 28 units.

we have to tell it is a rectangle or not.

The given parallelogram is rectangle if the angle at vertices are of 90° i.e the two triangle formed must be right angles i.e it  must satisfy Pythagoras theorem

28^{2}=20^{2}+21^{2}

784=400+441=881

Not verified

∴ The sides of the parallelogram do not meet at right angles.

Hence, the parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.

Hope it helps

Mark as brainliest

5 0
3 years ago
If you know the pythagorean theorem, then you can always find the distance between two points in the plane.
telo118 [61]
The answer to this question is true

8 0
3 years ago
Read 2 more answers
Please help this is worth a lot of my grade:(
Ede4ka [16]

Answer:

Step-by-step explanation:

a_n=-3n+50\\ \\ a_{15}=-3(15)+50\\ \\ a_{15}=-45+50\\ \\ a_{15}=5

5 0
2 years ago
What is the solution to the equation 2^(x+4) -12- 20?<br> O x=0<br> O x=1<br> O x=2<br> O x=9
masya89 [10]
The answers is 2x+4−12−20
6 0
3 years ago
Read 2 more answers
A figure has 4 sides with two sets of parallel sides
Dvinal [7]

Answer:

It can be a square!

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • you sell bracelets for $2 each and necklaces for $3 each at a local flea market. You collect$95, selling a total of 37 jewelry i
    8·1 answer
  • A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?
    14·1 answer
  • A size 5 soccer ball has a diameter of about 8.5 inches . To the nearest cubic inch , what is the volume of a size 5 soccer ball
    5·2 answers
  • Point P is shown on the number line below.
    10·1 answer
  • For number 6 I’m not sure how to do it
    11·2 answers
  • Find x please help me
    13·2 answers
  • This is my last question ​
    6·2 answers
  • Calculator
    6·1 answer
  • I will give brainliest
    7·1 answer
  • Correct answer please!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!