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Tolong Dibantu
Tolong Dibantu
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Limas P.ABCD
AB = 4 satuan
O tengah ABCD
•
Perhatikan segitiga TOC
S pd OC
LS ⊥ OC
CS/CO = CL/CT = 2/3
CS/(1/2 AB√2) = 2/3
CS = 2/3 (2√2) = 4/3 √2
SO = CO - CS = 1/2 (4√2) - 4/3 √2 = 2/3 √2 satuan
•
Perhatikan segitiga TOB
R pd OB
KR ⊥ OB
BR/RO = BK/BP = 1/2
RO = 1/2 BO = 1/2 (1/2 4√2) = √2
•
Perhatikan segitiga COB siku di O
Panjang proyeksi KL pd alas
= SR
= √(OS² + OR²)
= √((2/3 √2)² + (√2)²)
= √(8/9 + 18/9)
= √(26/9)
= 1/3 √26 satuan ✔
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