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°.
Option 1
Jessica can make 2 scarves
yes, because the quotient of 
<u>Solution:</u>
Given, Jessica used 
yard of fabric to make a scarf.
We have to find can she make 2 of these scarves with 
yards of fabric, and why?
Now, let us find number of scarves that can be made from available scarf
We know that,
so we can make 2 scarves.
Hence, yes, we can make 2 scarves because quotient of
So 1st option is correct
Answer:
w = 5 , w = -5
Step-by-step explanation:
w^2 = 25
Take the square root of each side
sqrt(w^2) = ± sqrt(25)
w = ±5
Answer:
Y=-3/4x + 10
Step-by-step explanation:
Question:
There are 33.8 fluid ounces in a litre. There are 128 fluid ounces in a gallon. About how many litres are in a gallon?
Is your estimate larger or smaller than the actual number of litres in a gallon? Explain how you know
Answer:
It is larger
Step-by-step explanation:
Given
Required
Estimate number of litres in a gallon
Cross Multiply
Divide both sides by 33.8
Approximate
The estimate is larger than the actual litres to gallon conversion because, in standard units of conversion;
