Pada layang layang ABCD, CE = 12 cm, CD = 20, dan AC = 42 cm. tentukan AB !

Pada layang layang ABCD, CE = 12 cm, CD = 20, dan AC = 42 cm. tentukan AB !

Jawaban Terkonfirmasi

DE = BE = $sqrt{ CD^{2} - CE^{2} }$
= $sqrt{ 20^{2} - 12^{2} }$
= $sqrt{400 - 144}$
= $sqrt{256}$
= 16 cm
AE = AC – CE
= 42 – 12
= 30
AB = $sqrt{ AE^{2} + BE^{2} }$
= $sqrt{ 30^{2} + 16^{2} }$
= $sqrt{900 + 256}$
= $sqrt{1156}$
= 34 cm