A homeowner is building three steps leading to a deck, as modeled by the diagram below. All three step rises, HA, FG, and DE, are congruent, and all three step runs, HG, FE, and DC, are congruent. Each step rise is perpendicular to the step run it joins. The measure of ZCAB = 36° and ZCBA = 90°. %3D %3D C Step run Step rise H 36 A If each step run is parallel to AB and has a length of 10 inches, determine and state the length of each step rise, to the nearest tenth of an inch. Determine and state the length of AC, to the nearest inch.

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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A homeowner is building three steps leading to a
deck, as modeled by the diagram below. All three
step rises, HA, FG, and DE, are congruent, and all
three step runs, HG, FE, and DC , are congruent.
Each step rise is perpendicular to the step run it
joins. The measure of ZCAB = 36° and
ZCBA = 90°.
%3D
%3D
C
Step run
Step
rise
H
36
A
If each step run is parallel to AB and has a length of
10 inches, determine and state the length of each
step rise, to the nearest tenth of an inch. Determine
and state the length of AC, to the nearest inch.
Transcribed Image Text:A homeowner is building three steps leading to a deck, as modeled by the diagram below. All three step rises, HA, FG, and DE, are congruent, and all three step runs, HG, FE, and DC , are congruent. Each step rise is perpendicular to the step run it joins. The measure of ZCAB = 36° and ZCBA = 90°. %3D %3D C Step run Step rise H 36 A If each step run is parallel to AB and has a length of 10 inches, determine and state the length of each step rise, to the nearest tenth of an inch. Determine and state the length of AC, to the nearest inch.
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