Respuesta :

Given :-

  • Area = 10.6 cm²
  • Height = 4cm

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To find :-

  • Base of triangle

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We know. :-

[tex] \boxed{ \rm Area_{(triangle)}= \frac{1}{2} \times base \: \times heigt}[/tex]

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By using this formula we can find base of triangle.

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So:-

[tex] \dashrightarrow\sf Area_{(triangle)}= \frac{1}{2} \times base \: \times heigt \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf 10.6= \frac{1}{2} \times base \: \times 4\\ [/tex]

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[tex] \dashrightarrow\sf 10.6= \frac{1}{ \cancel2} \times base \: \times \cancel4\\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf 10.6= \frac{1}{1} \times base \: \times 2\\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf 10.6 = base \: \times 2\\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf base \: \times 2 = 10.6 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf base= \frac{10.6}{2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\bf base= 5.3 \: cm \\ [/tex]