Respuesta :

Answer:

83.3 cm²

Step-by-step explanation:

First we should calculate the height of this triangle using the pythagorian theorem

Let h be the height of the triangle :

  • 7²+12²= h²
  • h = [tex]\sqrt{12^{2}+7^{2} }[/tex]= [tex]\sqrt{193}[/tex]

Let A be the area of the triangle :

  • A= (b*h)/2=(12*[tex]\sqrt{193}[/tex])/2=83.3 cm²

Answer:

   31.7 cm^2

Step-by-step explanation:

We can use the formula

A = 1/2 ab sin C  where a and b are two sides and C is the angle between them

C = 180 - 72 - 59 = 49

A = 1/2 ab sin C

   = 1/2 ( 7)(12) sin 49

     31.69780237

To 1 decimal place

   31.7 cm^2