Chapter 5.6, Problem 27E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# Given point D in the interior of Δ R S T , which statement(s) is (are) true?a) R K K T ⋅ T H H S ⋅ G S R G = 1 b) T K K R ⋅ R G G S ⋅ S H H T = 1

To determine

a)

To verify:

Whether the statement RKKTTHHSGSRG=1 is true or not.

Explanation

Given:

Consider a point D in the interior of Î”RST.

Theorem used:

Cevaâ€™s theorem:

Let point D be any point in the interior of Î”ABC, where E, F, and G lie on Î”ABC, let BEÂ¯,AFÂ¯ and CGÂ¯ be the line segments determined by D and vertices of Î”ABC

To determine

b)

To verify:

Whether the statement TKKRRGGSSHHT=1 is true or not.

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