Decompose the figure into regions that are closest to each
1 answer:
The image is decomposed as follows: H1 and H2. Where original graph is Hx.
<h3>Are the images (attached) valid decompositions of the original graph?</h3>- Yes, they are because, H1 and H1 are both sub-graphs of Hx; also
- H1 ∪ H2 = Hx
- They have no edges in common.
Hence, {H1 , H2} are valid decomposition of G.
<h3>What is a Graph Decomposition?</h3>A decomposition of a graph Hx is a set of edge-disjoints sub graphs of H, H1, H2, ......Hn, such that UHi = Hx
See the attached for the Image Hx - Pre decomposed and the image after the graph decomposition.
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The right answer is Option 2: A right triangle with side length of √47 and hypotenuse of 10.
Step-by-step explanation:
We know that;
We will put the unknown length as √53 to check the solution.
Option 1: a = 6 , b = √53 , c = √91
Option 2: a=√47, b = √53, c = 10
Option 3: a = √19, b=√53, c= √34
Option 4: a=√73, b=√53, c=20
Option 2 satisfies pythagoras theorem.
Therefore;
The right answer is Option 2: A right triangle with side length of √47 and hypotenuse of 10.
Keywords: pythagoras theorem, square root
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