Question

Give an example of how the Triangle Midsegment Theorem can be used for indirect measurement. A. If the distance you want to measure is the midsegment of a triangle and you know the other angle measures of the triangle, you can use the relationship between the midsegment and the angles to find the length of the midsegment. B. If the distance you want to measure is one side of a triangle and you know the lengths of the other two sides, you can use the relationship between the midsegment and its opposite side to find the length of the opposite side. C. If the distance you want to measure is the midsegment of a triangle and you know the length of the opposite side, you can use the relationship between the midsegment and its opposite side to find the length of the midsegment. D. If the distance you want to measure is one side of a triangle and you know the distance of an adjacent side and of the midsegment connecting them, then you can use the relationship between the side and the midsegment to find the side's length.

Answer 1

The Triangle Midsegment Theorem can be used for indirect measurement by knowing the length of the opposite side and calculating half of this length to determine the length of the midsegment.

Step-by-step explanation:

An example of how the Triangle Midsegment Theorem can be used for indirect measurement is option C: If the distance you want to measure is the midsegment of a triangle and you know the length of the opposite side, you can use the relationship between the midsegment and its opposite side to find the length of the midsegment. According to the Triangle Midsegment Theorem, the midsegment is parallel to the third side of the triangle and is half its length. So, if you know the length of the opposite side, you can multiply it by 0.5 (or divide it by 2) to find the length of the midsegment without direct measurement.