Diketahui, AB = BC = CD = AD = 4 cm. , AC = BC = CD = DT = 5 cm. , AC = BD = 4 221a 2 cm. , ditanya , jarak titik D ke TB

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Diketahui


AB = BC = CD = AD = 4 cm.
AC = BC = CD = DT = 5 cm.
AC = BD = 4 √ 2 cm.

ditanya
jarak titik D ke TB​


limas beraturan

AB = AD = 4 cm

AT = 5 cm

cos DBT

= (DB² + BT² – DT²)/(2 . DB . BT)

= ((4√2)² + 5² – 5²)/(2 . 4√2 . 5)

= (4√2)² / (2 . 4√2 . 5)

= 4√2 /10

= 2/5 √2

sin DBT = √(1 – cos² DBT) = 1/5 √17

Jarak D ke TB

= DX

= DB sin DBT

= 4√2 × 1/5 √17

= 4/5 √34 cm

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