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A triangle with 3 different sides. One side is 17, 2nd side is 16 and 3rd side is 29.
What is the smallest angle of this triangle and then also round it to nearest hundredth.

A Triangle With 3 Different Sides One Side Is 17 2nd Side Is 16 And 3rd Side Is 29 What Is The Smallest Angle Of This Triangle And Then Also Round It To Nearest class=

Sagot :

Answer:

27.57 degrees to the nearest hundredth.

Step-by-step explanation:

The smallest angle is the one opposite the smallest side (16).

By the Cosine Rule:

16^2 = 17^2 + 29^2 - 2*17*29 cos x       where x is the smallest angle.

cos x =   (17^2 + 29^2 - 16^2) / 2*17*29

         = 874 / 986

         = 0.8864097

x  = 27.574 degrees.

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