Use the property that corresponding sides of similar triangles are proportional to complete the explanation of why the trigonometric ratio sin A is the same when calculated in AMDE as in AMBC. E A B D angles. By AA~ LA LA and ZABC LADE, since both are (select) AABCselect) v AADE, so corresponding sides are proportional: AC BC AE DE
Use the property that corresponding sides of similar triangles are proportional to complete the explanation of why the trigonometric ratio sin A is the same when calculated in AMDE as in AMBC. E A B D angles. By AA~ LA LA and ZABC LADE, since both are (select) AABCselect) v AADE, so corresponding sides are proportional: AC BC AE DE
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Use the property that corresponding sides of similar triangles are proportional to complete the
explanation ofwhy the trigonometric ratio sin A is the same when calculated in AADE as in ABC.
A
B D
v angles. By AA
LA LA and ZABC LADE, since both are (select)
AABC select) VAADE, so corresponding sides are proportional:
AC
BC
AE
DE
(ACIDE)
- RC
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B D
ZA LA and ZABC LADE, since both are (select)
AABC (select) VAADE, so corresponding sides are proportional:
v angles. By AA ,
AC
BC
AE
DE
(ACXDE)
= BC
AE
DE
BC
AE
AC
These ratios determine (select) v
right triangle.
and since they are equal, sin A is the same when calculated in either
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