Quiz 1 Solution Fall 2013

# 2 10 pts the area of the triangle dec is one half of

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Unformatted text preview: 2 ⎤ = 45 θ = 360 ⎢1 − 2 2⎥ ⎣ π (R − r ) ⎦ Prob.2 (10 pts.). The area of the triangle DEC is one half of the area of triangle ABC. CG is perpendicular to both AB and DE. If CF = 5.0 cm and GB = 10.0 cm, what is the value of CE? C D E F A B G AREA of DEC = get 1 1 11 (CF × DE ) = AREA of ABC = (CG × AB) from which we can 2 2 22 1 DE CF = 2 AB CG 2 1 ⎛ CF ⎞ DE CF By similarity of triangles so that = ⎜ = ⎟ or CG = 2 ⎝ CG ⎠ AB CG 1 CF FE CF Also by similarity or FE = GB = 10 cm = CG GB CG 2 Finally by the Pythagorean Theorem we get: CE = FE 2 + CF 2 = (10.0 cm 1 )2 + (5.0 cm )2 = 8.7 cm 2 2 × 5.0 cm...
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## This test prep was uploaded on 04/05/2014 for the course PHYS 100 taught by Professor Dech during the Fall '08 term at Drexel.

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