Pertanyaan

Pada gambar di samping, △ DEF ∆ DEF siku-siku di titik E, dan EG ⊥ DF . Panjang DE = 12 cm, EF = 9 cm, dan DF = 15 cm, maka panjang EG adalah....

Pada gambar di samping, $△ DEF$ siku-siku di titik E, dan $EG ⊥ DF$ . Panjang DE = 12 cm, EF = 9 cm, dan DF = 15 cm, maka panjang EG adalah....

5,7 cm
8,2 cm
7,2 cm
6,8 cm

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Pembahasan

$begin mathsize 14px style straight L triangle subscript DEF equals 1 half cross times DE cross times EF straight L triangle subscript DEF equals 1 half cross times DF cross times GE Maka comma 1 half cross times DE cross times EF equals 1 half cross times DF cross times GE space space space up diagonal strike 1 half end strike cross times 12 cross times 9 equals up diagonal strike 1 half end strike cross times 15 cross times GE space space space space space space space space space space space space space space GE equals fraction numerator 12 cross times 9 over denominator 15 end fraction space space space space space space space space space space space space space space GE equals 7 comma 2 space cm end style$