Let S be a circle with its center at point 0 and aradius of 1. Let AABC be a triangle such that allits vertices are on S and AB : AC = 3:2. As shownin the figure, let D be a point on the extension ofside BC and k be the number whereBC: CD = 2: k.BMoreover, setOA = a, OB = 6, oc = c.Answer the following questions.(1) When we express OD in terms of b, e and k, we havekOD(2) Since the equalityEholds, by expressing the inner product a 6 in terms of the inner product a-e, we haveHa c -G(3) It follows that when the tangent to S at the point A passes through the point D,K

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Let S be a circle with its center at point O and a radius of 1. Let AABC be a triangle such that all its vertices are on S and AB: AC = 3:2. As shown in the figure, let D be a point on the extension of side BC and k be the number where BC : CD = 2: k. B Moreover, set OA = a, OB = ŏ, oc = e. Answer the following questions. (1) When we express OD in terms of 6, c and k, we have OD в C (2) Since the equality E holds, by expressing the inner product a b in terms of the inner product a-e, we have (3) It follows that when the tangent to S at the point A passes through the point D,

Let S be a circle with its center at point O and a radius of 1. Let AABC be a triangle such that all its vertices are on S and AB: AC = 3:2. As shown in the figure, let D be a point on the extension of side BC and k be the number where BC : CD = 2: k. B Moreover, set OA = a, OB = ŏ, oc = e. Answer the following questions. (1) When we express OD in terms of 6, c and k, we have OD в C (2) Since the equality E holds, by expressing the inner product a b in terms of the inner product a-e, we have (3) It follows that when the tangent to S at the point A passes through the point D,

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

Let S be a circle with its center at point 0 and a
radius of 1. Let AABC be a triangle such that all
its vertices are on S and AB : AC = 3:2. As shown
in the figure, let D be a point on the extension of
side BC and k be the number where
BC: CD = 2: k.
B
Moreover, set
OA = a, OB = 6, oc = c.
Answer the following questions.
(1) When we express OD in terms of b, e and k, we have
k
OD
(2) Since the equality
E
holds, by expressing the inner product a 6 in terms of the inner product a-e, we have
H
a c -
G
(3) It follows that when the tangent to S at the point A passes through the point D,
K

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