Find cos B exactly if a = 15, b = 11, and angle Cis a right angle

Mathematics · Middle School · Tue Nov 03 2020

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Given: The triangle ABC is right angled at C. length of side a is 15 units, the length of side b is 11 units.

We have to find the cosine value of angle B.

By phythogoras theorem, 

H² = P² + B²

H² = 11² + 15²

H² = 221 + 225

H² = 346

H = √346

Now, we know cos = B/H

 

Cos B = 15/√346