小嫻將一張正方形紙卡摺成附圖的形式,若線段AE:線段DE=3:2,且摺線線段CE=4根號29,試求此正方形紙卡的面積為多少?
回答 (1)
2016-02-18 1:56 pm
設AE = 3k , DE = 2k ,
則 CD² + DE² = CE²
(5k)² + (2k)² = (4√29)²
29k² = 16(29)
k² = 16
正方形紙卡的面積為 (5k)² = 25k² = 25(16) = 400.
則 CD² + DE² = CE²
(5k)² + (2k)² = (4√29)²
29k² = 16(29)
k² = 16
正方形紙卡的面積為 (5k)² = 25k² = 25(16) = 400.
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