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Perhatikan gambar berikut! Berdasarkan gambar t...

Perhatikan gambar berikut!

Berdasarkan gambar tersebut, tentukan Luas dan keliling trapesium!

Jawaban:

DE adalah tinggi trapesium yang dapat ditentukan menggunakan teorema phytagoras

begin mathsize 14px style DE space equals square root of AD squared minus AE squared end root space space space space space space equals square root of 8 squared minus 4 squared end root space space space space space space equals square root of 64 minus 16 end root space space space space space space equals square root of 48 space space space space space space equals square root of 16 cross times 3 end root space space space space space space equals 4 square root of 3 end style 

Panjang AB = begin mathsize 14px style 4 plus 10 plus 4 equals 18 space cm end style 

   begin mathsize 14px style Luas space Trapesium equals 1 half cross times jumlah space sisi space sejajar cross times tinggi space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 half cross times open parentheses 10 plus 18 close parentheses cross times 4 square root of 3 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 1 over denominator up diagonal strike 2 end fraction cross times space stack up diagonal strike 28 with 14 on top cross times 4 square root of 3 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 56 square root of 3 space space space space space space space space space space space space space space space space space space space space space space space space end style 

begin mathsize 14px style Keliling equals AB plus BC plus CD plus AD space space space space space space space space space space space space equals 18 plus 8 plus 10 plus 8 space space space space space space space space space space space space equals 44 space cm end style 

Jadi, luas trapesium adalah  begin mathsize 14px style 56 square root of 3 end style cm2 dan kelilingnyabegin mathsize 14px style space 44 space cm end style  

 

 

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