Drag vertices B and C of the triangle. Then, conjecture about the relationship between angle measures and side lengths in a triangle.



If the angle measure is the largest of the triangle, what do you know about the side opposite?



It is the length.



If a side is the shortest of the triangle, what do you know about the angle opposite that side?



It is the degree measure

Respuesta :

Answer:

1. longest

2. smallest

For the triangle mentioned here, the following is what will be obtainable based on the conjecture about relationship between sides and angle measures of a triangle:

  • You will know that for the largest angle measure, the side opposite the angle will be the longest side.
  • You will know that for the shortest side in the triangle, the angle opposite it will be the smallest angle measure.

Recall the conjecture about the relationship between the sides and angles of a triangle:

  • The largest angle in a triangle always faces the longest side of the triangle.

  • The smallest angle in a triangle always faces the shortest side of the triangle.

Thus, for the triangle mentioned here, the following is what will be obtainable based on the conjecture about relationship between sides and angle measures of a triangle:

  • You will know that for the largest angle measure, the side opposite the angle will be the longest side.
  • You will know that for the shortest side in the triangle, the angle opposite it will be the smallest angle measure.

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