fhs12121 fhs12121
  • 16-06-2020
  • Mathematics
contestada

work out the area of the triangle to 1 decimal place. 10cm, 13cm, 105 degrees

work out the area of the triangle to 1 decimal place 10cm 13cm 105 degrees class=

Respuesta :

eudora eudora
  • 21-06-2020

Answer:

Area = 62.8 cm²

Step-by-step explanation:

In the figure attached a triangle has been given with two sides and included angle between them.

Measures of two sides are 10 cm and 13 cm.

Measure of included angle = 105°

Since area of a triangle with two sides (a and b) and included angle (θ) is,

[tex]\text{Area}=\frac{a.b.\text{sin}\theta}{2}[/tex]

        = [tex]\frac{10\times13\times \text{sin(105)}}{2}[/tex]

       = 62.79

       ≈ 62.8 cm²

Therefore area of the given triangle is 62.8 cm²

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