Find the best answers to your questions with the help of IDNLearn.com's expert contributors. Join our Q&A platform to access reliable and detailed answers from experts in various fields.

What is the measurement of the largest angle in ΔABC such that a = 12 cm, b = 26 cm, and c = 19 cm?
25.3°
42.6°
109.4°
112.0°


Sagot :

Answer:

112.0°

Step-by-step explanation:

In a triangle, the largest angle is opposite the longest side.

The longest side is b, so the largest angle is B.

Since all we have is side lengths, we need to use the law of cosines.

b² = a² + c² - 2ac × cos B

26² = 12² + 19² - 2(12)(19) × cos B

676 = 144 + 361 - 456cos B

-456cosB = 171

cos B = -0.375

B = cos^-1 -0.375

B = 112.0°

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.