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Saya akan mencoba menjawab nomor 1

bukti: 1. 4 segitiga di atas semua adalah segitiga sama sisi 2. Segitiga DEF adalah segitiga sama sisi 3. Jadi disimpulkan tinggi segitiga DEF akan sama AE = DC = FB (Terbukti)

2. Garis AF yang ditarik dari titik A tepat di titik tengah garis CD, dan memotong perpanjangan sisi BC di titik F, maka DE = CE. Seperti pada gambar berikut:

2. Jika AB = BC = AD = DC = a maka DE = CE = 12

a. 3. Maka panjang AF

AE2=AD2+DE2=a2+(12a)2 =54a2AE = a25√ 4. Karena CE =DE, AD = FC, dan ∠C

=∠D maka △ADE≅△ECF

. Karena AE = EF maka AF = 2.AE = 2.a25√=a5√ 5. 1(AB)2=1a2 6. 1(AE)2+1(AF)2=15a24+15a2=25a2425a44

1(AE)2+1(AF)2=1a2 7. dari langkah 5 dan 6 hasilnya sama, maka Terbukti 1(AE)2+1(AF)2=1(AB)2

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