Diketahui limas ABCD, AB=BC=CD=AD=4cm, AT=BT=CT=DT=5cm, AC=BD=4221a2cm, Ditanya , jarak D ke TB (x) ???, Tolong bantu jawab

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Diketahui limas ABCD


AB=BC=CD=AD=4cm
AT=BT=CT=DT=5cm
AC=BD=4√2cm
Ditanya
jarak D ke TB (x) ???

Tolong bantu jawab​


limas beraturan

AB = AD = 4 cm

AT = 5 cm

O tengah ABCD

TO tinggi limas

AC = 4√2 cm

AO = 1/2 AC = 2√2 cm

TO = √(AT² – AO²)

TO = √(5² – (2√2)²)

TO = √17 cm

perhatikan segitiga BDT

X pada TB

DX ⊥ TB

Jarak D ke TB

= DX

= DB × TO / TB

= 4√2 × √17 / 5

= 4/5 √34 cm

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