mccole3505 mccole3505
  • 09-01-2019
  • Mathematics
contestada

If a 4 x 16 riangle has the same area as a square, what is the length of a side of the square

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tramserran
tramserran tramserran
  • 09-01-2019

Answer: [tex]\bold{4\sqrt2}[/tex]

Step-by-step explanation:

[tex]A_{triangle}=\bigg(\dfrac{1}{2}\bigg)b\times h[/tex]

[tex]A_{triangle}=\bigg(\dfrac{1}{2}\bigg)4\times 16[/tex]

              [tex]=\bigg(\dfrac{1}{2}\bigg)64[/tex]

              [tex]=32[/tex]

[tex]A_{square}= s^2[/tex]

[tex]32 = s^2[/tex]

[tex]\sqrt{32}=s[/tex]

[tex]\sqrt{\underline{2\cdot 2}\cdot \underline{2\cdot 2}\cdot 2}=s[/tex]

[tex]2\cdot 2\sqrt{2}=s[/tex]

[tex]4\sqrt{2}=s[/tex]


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