Jawab:
Luas Δ = 1/2 × alas × tinggi
2.
a. Luas ΔABC
Luas ΔABC = Luas ΔBCD - Luas ΔACD
= (1/2 × (AD + AB) × CD) - (1/2 × AD ×CD)
= (1/2 × 15 cm × 8 cm) - (1/2 × 6 cm × 8 cm)
= 60 cm² - 24 cm²
= 36 cm²
b. keliling ΔABC
Keliling ΔABC = AB + BC + AC
Mencari AC dengan rumus phytagoras (Karena ΔACD siku-siku)
AC² = AD² + CD²
AC² = (6 cm)² + (8 cm)²
AC² = 36 cm² + 64 cm² = 100 cm²
AC = 10 cm
= 9 cm + 17 cm + 10 cm
= 36 cm
3.
Luas ΔABC = 84 cm
AB = 13 cm
BC = 14 cm
AC = 12 cm
a. Keliling ΔABC
= 13 cm + 14 cm + 12 cm
= 39 cm
b. Panjang AD + BE
Luas ΔABC = 1/2 × AC ×BE = 1/2 ×BC × AD
- Luas ΔABC = 1/2 × AC ×BE
84 cm² = 1/2 × 12 cm × BE
BE = 14 cm
- Luas ΔABC = 1/2 ×BC × AD
84 cm² = 1/2 × 14 cm × AD
AD = 12 cm
AD + BE = 12 cm + 14 cm = 16 cm
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Jawab:
Luas Δ = 1/2 × alas × tinggi
2.
a. Luas ΔABC
Luas ΔABC = Luas ΔBCD - Luas ΔACD
= (1/2 × (AD + AB) × CD) - (1/2 × AD ×CD)
= (1/2 × 15 cm × 8 cm) - (1/2 × 6 cm × 8 cm)
= 60 cm² - 24 cm²
= 36 cm²
b. keliling ΔABC
Keliling ΔABC = AB + BC + AC
Mencari AC dengan rumus phytagoras (Karena ΔACD siku-siku)
AC² = AD² + CD²
AC² = (6 cm)² + (8 cm)²
AC² = 36 cm² + 64 cm² = 100 cm²
AC = 10 cm
Keliling ΔABC = AB + BC + AC
= 9 cm + 17 cm + 10 cm
= 36 cm
3.
Luas ΔABC = 84 cm
AB = 13 cm
BC = 14 cm
AC = 12 cm
a. Keliling ΔABC
Keliling ΔABC = AB + BC + AC
= 13 cm + 14 cm + 12 cm
= 39 cm
b. Panjang AD + BE
Luas ΔABC = 1/2 × AC ×BE = 1/2 ×BC × AD
- Luas ΔABC = 1/2 × AC ×BE
84 cm² = 1/2 × 12 cm × BE
BE = 14 cm
- Luas ΔABC = 1/2 ×BC × AD
84 cm² = 1/2 × 14 cm × AD
AD = 12 cm
AD + BE = 12 cm + 14 cm = 16 cm