Respuesta :

[tex] \underline \mathcal \pink{ GIVEN}[/tex]

  • Base = 2 9/10 km
  • Height = 4 6/7 km

[tex] \underline \mathcal \purple{ TO \: FIND}[/tex]

  • Area of the triangle

[tex] \underline \mathcal \blue{CALCULATION}[/tex]

[tex] \qquad \tt \leadsto \: area = \frac{1}{2} \times base \times height[/tex]

[tex] \qquad \bf \nrightarrow \: area = \frac{1}{ \cancel2} \times \cancel2 \frac{9}{10} \times 4 \frac{6}{7} [/tex]

[tex] \qquad \bf \nrightarrow \: area = \frac{9}{ \cancel{10}} \times \cancel4 \frac{6}{7} [/tex]

[tex] \qquad \bf \nrightarrow \: area = \frac{9}{ 5} \times 2 \frac{6}{7} [/tex]

[tex] \qquad \bf \nrightarrow \: area = \frac{108}{ 35} \approx3.08 \: {km}^{2} [/tex]

Thus, The area of the triangle is 3.08 kilometers...~