in ∆ABE, sin 60°=AE/AB
√3/2=AE/16
=>AE=8√3 cm
and cot 60°=BE/AE
1/√3=BE/8√3
=>BE= 8 cm
EC=BC - BE
=23-8=15 cm
in rt ∆ AEC,
by Pythagoras theorem,
AC sq. = AE sq.+EC sq.
=(8√3) sq. + 15 sq.
=192+225
417
=>AC=√417
=20.42
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Dekh . . iss bhi easy method..
∆ABE.. m B=60 ° , E=90°,
Toh ,.. . A=30°,..
Toh Yeh Ek 30,60 and 90 ka ∆ HAI. .
Toh , side opp to 30° =1/2 ×hypo..
BE=1/2×16
BE= 8...
Side Opp to 60° = √3/2 × hypo. .
AE=8√3
BC=BE+EC
EC=.. 15cm. .
∆AEC...
AE²+EC²=AC²
64*3 + 15²=
225+ 192 =
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