Would this be Side Side side

Mathematics

2 answers:

kifflom [539]3 years ago

6 0

Answer:

yes

Step-by-step explanation:

jarptica [38.1K]3 years ago

3 0

Answer:

triangle VUT ~ trangle VLM by SAS~

Step-by-step explanation:

We have information about two pairs of sides.

We also see that that there is pair of included angles. The included angles are vertical and congruent.

We need to check the ratios of the lengths of corresponding sides.

49/14 = 3.5

28/8 = 3.5

The pairs of corresponding sides have lengths in the same ratio. There is an included pair of congruent angles.

The triangles are similar by SAS Similarity.

triangle VUT ~ trangle VLM by SAS~

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Kay [80]

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$\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=5\\ p=24 \end{cases}\implies A=\cfrac{1}{2}(5)(24)\implies \stackrel{\textit{just for one octagon}}{A=60} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{two octagon's area}}{2(60)}~~+~~\stackrel{\textit{eight rectangle's area}}{8(3\cdot 8)}\implies 120+192\implies 312$