9
91. Given kite ABCD, in which AN = 2.9 m, what is AC?
B
2.9 m

Help??

The length of AC is 5.8 m

Step-by-step explanation:

In the kite, the longest diagonal is the axis of symmetry of the shortest diagonal which means the longest diagonal perpendicular to the shortest diagonal and bisects it (divide it into two equal parts)

In the given figure

∵ ABCD is a kite

∵ AC is the shortest diagonal

∵ BD is the longest diagonal

→ By using the fact above

∴ BD ⊥ AC

∴ BD bisects AC

∵ AC ∩ BD at the point N

→ That means N is the midpoint of AC

∴ N is the midpoint of AC

∴ AN = NC

∵ AN = 2.9 m

∴ NC = 2.9 m

∵ AC = AN + NC

∴ AC = 2.9 + 2.9

∴ AC = 5.8 m

∴ The length of AC is 5.8 m

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step-by-step explanation: