ABCD is a parallelogram. If AB is 8 cm long, BC is 5 cm and their included angle measures 100°, how long is diagonal AC? a. 12.95 cm b. 12.59 cm c. 10.40 cm d. 10.14 cm

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.3: Isosceles Triangles
Problem 24E: In concave quadrilateral ABCD, the angle at A measures 40. ABD is isosceles, BC bisects ABD, and DC...
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ABCD is a parallelogram. If AB is 8 cm long, BC is 5 cm and their included angle measures 100°, how
long is diagonal AC?
a. 12.95 cm
b. 12.59 cm
c. 10.40 cm
d. 10.14 cm
Given an angle and one of its sides, determine how long should the opposite side of the angle be so
that there are two triangles formed.
a. a> 8
b. a> 8 sin 40°
8
A
a = ?
c. a < 8 sin 40°
45°
a = ?
d. a = 8 sin 40°
In triangle ABC if A = 136°, a = 115 and b = 99.6, what is the measure of ZB?
c. 35°
C. 39⁰
d. 37°
d.
40°
A kite held by 125 m of string makes an angle of elevation with the ground of 45°. About how high is the
kite above the ground?
a. 62.8 m
b. 88.4 m
c. 75.1 m
d. 113.6 m
Transcribed Image Text:ABCD is a parallelogram. If AB is 8 cm long, BC is 5 cm and their included angle measures 100°, how long is diagonal AC? a. 12.95 cm b. 12.59 cm c. 10.40 cm d. 10.14 cm Given an angle and one of its sides, determine how long should the opposite side of the angle be so that there are two triangles formed. a. a> 8 b. a> 8 sin 40° 8 A a = ? c. a < 8 sin 40° 45° a = ? d. a = 8 sin 40° In triangle ABC if A = 136°, a = 115 and b = 99.6, what is the measure of ZB? c. 35° C. 39⁰ d. 37° d. 40° A kite held by 125 m of string makes an angle of elevation with the ground of 45°. About how high is the kite above the ground? a. 62.8 m b. 88.4 m c. 75.1 m d. 113.6 m
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