Question

In Exercises 12-20, TA=AB=BC and TD= DE = EF Write an Equation that relates AD and BE.

Answer 1

Based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)

Recall:

• The midsegment theorem of a triangle states that length of midsegment = ½(the third side of the triangle).

Given the image attached below, where, TA=AB=BC and TD= DE = EF, considering ΔTBE:

• AD = midsegment of ΔTBE
• BE = third side of ΔTBE

Therefore, based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)

Learn more about the midsegment theorem of a triangle on:

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