7. We recall that in lectures we used the notation (PQR) to mean the area of triangle PQR. With this in mind, consider a triangle ABC. Let D be the midpoint of BC and let E be an arbitrary point inside the triangle ABD. (a) B 5) a = D Why is (ABC) (AEB) + (AEC) + (BEC)?

7. We recall that in lectures we used the notation (PQR) to mean the area of triangle PQR. With this in mind, consider a triangle ABC. Let D be the midpoint of BC and let E be an arbitrary point inside the triangle ABD. (a) B 5) a = D Why is (ABC) (AEB) + (AEC) + (BEC)?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...

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Question

7. We recall that in lectures we used the notation (PQR) to mean the area of triangle PQR. With
this in mind, consider a triangle ABC. Let D be the midpoint of BC and let E be an arbitrary point
inside the triangle ABD.
B
5) e
D
(a) Why is (ABC)= (AEB) + (AEC) + (BEC)?

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