Answered

IDNLearn.com offers a reliable platform for finding accurate and timely answers. Find accurate and detailed answers to your questions from our experienced and dedicated community members.

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 :

Mathstudent55idn

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°

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.