zb7654779 zb7654779
  • 30-01-2022
  • Mathematics
contestada

find the area of triangle ABC

find the area of triangle ABC class=

Respuesta :

jimrgrant1 jimrgrant1
  • 30-01-2022

Answer:

A ≈ 31.7 cm²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] × AC × BC × sinC

∠ C = 180° - 72° - 59° = 180° - 131° = 49° , then

A = [tex]\frac{1}{2}[/tex] × 7 × 12 × sin49°

   = [tex]\frac{1}{2}[/tex] × 84 × sin49°

   = 42 × sin49°

   ≈ 31.7 cm² ( to 1 dec. place )

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