Respuesta :
Side AB is longer than side FD. Option (b) is correct.
Further explanation:
Given:
The options area as follows,
(a). [tex]\overline {{\text{AB}}}[/tex] and [tex]\overline {{\text{FD}}}[/tex] are the same length.
(b). [tex]\overline {{\text{AB}}}[/tex] is longer than [tex]\overline {{\text{FD}}}.[/tex]
(c). [tex]\overline {{\text{AB}}}[/tex] is shorter than [tex]\overline {{\text{FD}}}.[/tex]
(d). [tex]{\text{AB}} \leqslant {\text{FD}}[/tex]
Explanation:
The sides opposite to equal angles are equal.
The side opposite to greater angle is greater than the other one.
The measure of [tex]\angle {\text{DEC}}[/tex] is [tex]{65^ \circ }.[/tex]
The measure of [tex]\angle {\text{BCA}}[/tex] is [tex]{72^ \circ }.[/tex]
[tex]\angle {\text{BCA}}[/tex] is greater than [tex]\angle {\text{DEC}}[/tex]. Therefore, the side opposite to greater angle is greater.
Side AB is longer than side FD. Option (b) is correct.
Option (a) is not correct.
Option (b) is correct.
Option (c) is not correct.
Option (d) is not correct.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter:Triangles
Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.
