Answer:
Step-by-step explanation:
You use the Law of Cosines when you know all three sides and want to find the angles of a triangle.
For example, if you want to find ∠A, you use the formula
1. ∠ A
2. ∠B
3. ∠C
Pythagorean theorem
The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).<span>GeometryProjecting a sphere to a plane.<span>OutlineHistory</span>Branches[show]<span>ConceptsFeatures</span>[hide]DimensionCompass-and-straightedge constructions<span>AngleCurveDiagonal<span>Orthogonal(Perpendicular)</span>ParallelVertex</span><span>CongruenceSimilaritySymmetry</span>Zero / One-dimensional[show]Two-dimensional[show]Three-dimensional[show]Four- / other-dimensional[show]Geometersby name[show]by period[show]<span> Geometry portal</span><span>vte</span></span>
In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation":<span>[1] Google says</span>
Answer:
340 ft²
Step-by-step explanation:
From the diagram, we can see that the shape is made up of a square and 4 triangles. (We know it's a square as its width equals its length).
First, find the area of the square.
Area of a square = width x length = 10 x 10 = 100 ft²
All the triangles are the same, so we need to find the area of one of the triangles and multiply it by 4.
Area of a triangle = 1/2 x base x height = 1/2 x 10 x 12 = 60 ft²
So the total area of all 4 triangles = 4 x 60 = 240 ft²
Therefore the total surface area = 100 + 240 = 340 ft²
Answer:
A quick estimated answer would be 5,000-5,100
Step-by-step explanation:
<h3>
Answer: 42 = 2*3*7</h3>
Explanation:
Here is list of the first few primes = {2, 3, 5, 7, 11}
Divide 42 over the smallest prime 2 and we get
42/2 = 21
This shows that 2 is a factor (since we get a whole number result).
We don't have another factor of 2 because 21/2 = 10.5 isn't a whole number. But 3 is a factor because 21/3 = 7
Ultimately the numbers 2, 3 and 7 are factors of 42. They are the only prime factors and there's only one copy of each.
42 = 2*3*7
Check out the diagram below. It shows two different ways to generate a factor tree for the number 42.