Respuesta :

The length of s to the nearest centimetre is 76 cm

What are Triangles?

Triangles are polygon with three sides.  

Therefore, the triangle STU have the following properties.

  • t = 96 cm
  • u = 98 cm
  • ∠S = 46°
  • s = ?

Let's find s using cosine law. Therefore,

  • s² = t² + u² - 2tu cos S

Therefore,

s² = 96² + 98² - 2 × 96 × 98 cos 46°

s² = 9216 + 9604 - 18816 × 0.69465837045

s² = 18820 - 13070.6918986

s² = 5749.3082

s = √5749.3082

s = 75.8241927092

s ≈ 76 cm

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