My Learning Cart
?
Categories
Account

In triangle MNO, if MN = 12 cm, NO = 16 cm, and angle M = 60 degrees, what is th

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: In triangle MNO, if MN = 12 cm, NO = 16 cm, and angle M = 60 degrees, what is the length of MO using the Law of Cosines?

Options:

  1. 8 cm
  2. 10 cm
  3. 12 cm
  4. 14 cm

Correct Answer: 10 cm

Solution: 

Using the Law of Cosines: MO² = MN² + NO² - 2 * MN * NO * cos(M). MO² = 12² + 16² - 2 * 12 * 16 * cos(60°) = 144 + 256 - 192 = 208. Thus, MO = √208 = 10 cm.

In triangle MNO, if MN = 12 cm, NO = 16 cm, and angle M = 60 degrees, what is th

Practice Questions

Q1
In triangle MNO, if MN = 12 cm, NO = 16 cm, and angle M = 60 degrees, what is the length of MO using the Law of Cosines?
  1. 8 cm
  2. 10 cm
  3. 12 cm
  4. 14 cm

Questions & Step-by-Step Solutions

In triangle MNO, if MN = 12 cm, NO = 16 cm, and angle M = 60 degrees, what is the length of MO using the Law of Cosines?
  • Law of Cosines – A formula used to find a side of a triangle when two sides and the included angle are known.
  • Triangle Properties – Understanding the relationships between the sides and angles of a triangle.
  • Trigonometric Functions – Using cosine to relate the angle and the lengths of the sides in a triangle.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks