Play the video below to find the third side length when the triangle angle is increased further. Record the new third side length in the table.

First Side
Length (inches) Second Side
Length (inches) Third Side
Length (inches)
3 6 7
3 6

1 answer

Based on your description, it appears you're working with a scenario involving a triangle and changing its angles to find the lengths of its sides. Since I cannot play videos or see any content, I'll help you understand how you might find the length of the third side.

To find the length of the third side in a triangle when angles are changed, you can use the Law of Cosines if you know the lengths of the other two sides and the included angle. The Law of Cosines states:

\[ c^2 = a^2 + b^2 - 2ab \cdot \cos(C) \]

Where:

  • \( c \) is the length of the side opposite angle \( C \).
  • \( a \) and \( b \) are the lengths of the other two sides.
  • \( C \) is the angle between sides \( a \) and \( b \).

If you have values for the two sides and the angle, you can calculate the length of the third side using the above formula.

For example, if you have a triangle with the first side as 3 inches, the second side as 6 inches, and if you increase the angle \( C \) between these two sides, you can input different values of \( C \) (in degrees) to find the new third side.

If you have specific angles or measurements you want to explore, I can help provide the calculations or guide you through the process step-by-step!