PEMBAHASAN
Dimensi Tiga
Limas Segi Empat Beraturan
Limas T.ABCD
AB = BC = 10 cm
TA = 18 cm
O tengah AC
TO = tinggi limas
AC = AB√2 = 10√2 cm
AO = OC = 1/2 AC = 5√2 cm
c.
TO ⊥ ABCD
∆AOT siku di O
Jarak T ke bidang ABCD
= tinggi limas
= TO
= √(TA² - AO²)
= √(18² - (5√2)²)
= √(324 - 50)
= √274 cm
≈ 16,6 cm (geogebra)
b.
Perhatikan ∆ACT
X pada AT
CX ⊥ AT
Jarak C ke AT
= AC × TO/AT
= 10√2 × √274 / 18
= 10/9 √137 cm
≈ 13 cm (geogebra)
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Verified answer
PEMBAHASAN
Dimensi Tiga
Limas Segi Empat Beraturan
Limas T.ABCD
AB = BC = 10 cm
TA = 18 cm
O tengah AC
TO = tinggi limas
AC = AB√2 = 10√2 cm
AO = OC = 1/2 AC = 5√2 cm
c.
TO ⊥ ABCD
∆AOT siku di O
Jarak T ke bidang ABCD
= tinggi limas
= TO
= √(TA² - AO²)
= √(18² - (5√2)²)
= √(324 - 50)
= √274 cm
≈ 16,6 cm (geogebra)
b.
Perhatikan ∆ACT
X pada AT
CX ⊥ AT
Jarak C ke AT
= AC × TO/AT
= 10√2 × √274 / 18
= 10/9 √137 cm
≈ 13 cm (geogebra)