24. In the 10 by 10 grid of squares be at any of the 41 points of intersection of pairs of gridlines inside (and not on) AFGH. For each possible location of P, exactly three triangles are formed: AFPG, AGPH, AHPF. How many of these 123 triangles have an area that is exactly half of the area of AFGH? (A) 5 (C) 3 (D) 11 (B) 7 (E) 9

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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24. In the 10 by 10 grid of squares shown, point P can
be at any of the 41 points of intersection of pairs of
gridlines inside (and not on) AFGH. For each possible
location of P, exactly three triangles are formed: AFPG,
AGPH, AHPF. How many of these 123 triangles have
an area that is exactly half of the area of AFGH?
(A) 5
(B) 7
(C) 3
(D) 11
(E) 9
F
Transcribed Image Text:24. In the 10 by 10 grid of squares shown, point P can be at any of the 41 points of intersection of pairs of gridlines inside (and not on) AFGH. For each possible location of P, exactly three triangles are formed: AFPG, AGPH, AHPF. How many of these 123 triangles have an area that is exactly half of the area of AFGH? (A) 5 (B) 7 (C) 3 (D) 11 (E) 9 F
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