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Chapter 5: Q12 (page 193)

In Exercises 12-20, TA=AB=BCand TD=DE=EF

Write an equation that relates AD and BE. (Hint: Think of ΔTBE)

Short Answer

Expert verified

The equation that relates AD and BE is BE=2AD.

Step by step solution

01

Step 1. Highlight Triangle ABE in the given figure.

02

Step 2. Description of step.

Consider ΔTBE. From the figure, it can be observed that TA=ABandTD=DE.

03

Step 3. Description of step.

From the figure, it can be observed that AD is the midsegment of ΔTBE. The midsegment theorem states that the length of the midsegment is half of the base of the triangle. Therefore,

AD=BE2BE=2AD

Therefore, an equation that relates AD and BE is BE=2AD.

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