Kelshonti15
16.12.2020 •
Mathematics
Find the missing side.
7 m
x
13 m
17
14.76
8.43
10.95
Solved
Show answers
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Ответ:
part a) draw two triangles, translating one of them to the right.
part b) Consider triangles ΔYXB and ΔYZA. In these triangles:
∠Y is common, then ∠XYB≅∠ZYA (additional information that is needed);∠YXB≅∠YZA (given);XY≅ZY (given).Therefore, these two triangles have two congruent angles adjacent to congruent sides. By the ASA Postulate, ΔYXB≅ΔYZA.
ASA Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.
part c) flow chart proof:
XY≅ZY (given);XB≅ZA (implies);YB≅YA (implies).