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°.
Answer: 90 U.S. dollars
If 60 U.S. dollars represwnt 50 euros, we will add.
80 euros represent 90 dollars because: there are 10 more euros than dollars.
Hope this helps!
Answer:
The answer to your question is 10 in
Step-by-step explanation:
Data
Circumference = 20π in
Diameter = ?
Formula
Circumference = 2πr
Process
1.- Equal the formula to the value
2πr = 20π
2.- Solve for r
r = 20π/2π
3.- Simplification
r = 10/2
4.- Find the diameter
diameter = 2r
diameter = 2(10/2)
diameter = 10 in
Answer:
The angle measurement is 68 degrees
Step-by-step explanation:
The line NL is a straight line, so the angle is 180
NOM and LOM add up to the straight line
Then, subtract 112 from 180 to get 68 degrees as the answer
9514 1404 393
Answer:
second step is wrong; x = 5
Step-by-step explanation:
The correct solution is ...
3(x -3) +9 = 15
3x -9 +9 = 15 . . . . . . . not 3x -3
3x = 15
x = 5
_____
Jeremy did what a lot of students do -- failed to apply the outside factor to <em>all</em> of the terms in parentheses.
