melissa400
melissa400 melissa400
  • 03-06-2020
  • Mathematics
contestada

What is the measure of angle a?​

What is the measure of angle a class=

Respuesta :

jimrgrant1 jimrgrant1
  • 03-06-2020

Answer:

38°

Step-by-step explanation:

Using the Cosine rule in Δ ABC

cos A = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]

where a, b and c are the sides of the triangle.

Here a = 5, b = 3 and c = 7 , thus

cos A = [tex]\frac{3^2+7^2-5^2}{2(3)(7)}[/tex] = [tex]\frac{9+49-25}{42}[/tex] = [tex]\frac{33}{42}[/tex] , thus

∠ A = [tex]cos^{-1}[/tex] ([tex]\frac{33}{42}[/tex] ) ≈ 38°

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