Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

In ΔABC, a = 2, b = 3, and c = 4. Find the value of cosC. Is the triangle acute, right, or obtuse?

Sagot :

crisforp
4^2 = 3^2 + 2^2 - 2  * 3 * 2 * cosC <=> 16 = 13 - 12 * cosC <=> 12 * cosC = -3 <=> cosC = - 1/4.
The applicable formula is known as the law of cosines
C² =  a² + b² -2abcosC
cosC  =       ( a² + b² - c²)/2ab
           =     ( 2² + 3² - 4²)/2*2*3
           =    (13-16)/12
           =    -3/12
           =    -1/4
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.