Respuesta :

[tex]\text{Area of triangle} = \dfrac{1}{2} ab \sin c[/tex]

[tex]\text{Area of triangle} = \dfrac{1}{2} (40)(25) \sin(80)[/tex]

[tex]\text{Area of triangle} = 492.4 \ m^2[/tex]

Answer:

Area of triangle = 492 square meter.

Step-by-step explanation:

Given : Triangle with two triangle AB and BC and angle B.

To find : What is the area of triangle ABC.

Solution : We have given Triangle with two triangle AB and BC and angle B.

By the formula

Area of triangle : [tex]\frac{1}{2}AB * BC * sin(B)[/tex].

Plugging the values AB = 40 m , BC = 25 m

Area of triangle : [tex]\frac{1}{2} 40 * 25 * sin(80)[/tex].

Area of triangle : [tex]\frac{1}{2} 40 * 25 * 0.984[/tex].

Area of triangle = 492 square meter.

Therefore, Area of triangle = 492 square meter.

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