Triangle EFG, with vertices E(-9,2), F(-5,3), and G(-7,5), is drawn inside a rectangle, as shown below.

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roninmcrae202058 roninmcrae202058

04-05-2022
Mathematics

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Triangle EFG, with vertices E(-9,2), F(-5,3), and G(-7,5), is drawn inside a rectangle, as shown below.

Sagot :

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x-5y=2 and 9x+8=15 solve by substitution

jdoe0001 jdoe0001 · Answer 1 · 2022-05-04T19:08:49-04:00

Check the picture below.

so hmmm let's get the whole area of the rectangle, and then get the areas of those 3 triangles and subtract their area from that of the rectangle's, what's leftover is what we didn't subtract, namely, the white triangle.

[tex]\stackrel{\textit{\huge Areas}}{\stackrel{rectangle}{(3)(4)}~~ - ~~\stackrel{green~triangle}{\cfrac{1}{2}(2)(3)}~~ - ~~\stackrel{pink~triangle}{\cfrac{1}{2}(2)(2)}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(4)(1)}} \\\\\\ 12~~ - ~~3~~ - ~~2~~ - ~~2\implies 5[/tex]

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