T o l o n g d o n g g ! : )

T o l o n g d o n g g ! : )

Jawab:

1. 117°

2. 30 cm²

3. 34 meter

Penjelasan dengan langkah-langkah:

1. Jumlah sudut dalam segitiga selalu berjumlah 180 derajat.

∠MKL + ∠KLM + ∠LMK = 180°

52° + 65° + ∠LMK = 180°

∠LMK = 180° – 52° – 65°

∠LMK = 63°

∠LMK dan ∠LMN saling berpelurus, maka jumla kedua sudut tersebut adalah 180°

∠LMK + ∠LMN = 180°

63° + ∠LMN = 180°

∠LMN = 180° – 63°

∠LMN = 117°

2. Luas yang diarsir = Luas Δ ABE + Luas Δ ABD – 2 × Luas Δ ABC

L = (1/2 x 5 x 12) + (1/2 x 5 x 8) – (2 x 1/2 x 5 x 4)

L = 30 + 20 – 20

L = 30 cm²

3. Panjang diagonal persegi panjang selalu sama.

4x + 10 = 6x – 2

10 + 2 = 6x – 4x

12 = 2x

x = 12/2

x = 6

Maka, panjang diagonal tersebut adalah

4x + 10

= 4 x 6 + 10

= 24 + 10

= 34 meter

(jangan lupa tandai sebagai jawaban terbaik 🙂

< LMN = 180° – (180° – 65° – 52°)

< LMN = 180° – 63

< LMN = 117°

atau

< LMN = 65° + 52°

< LMN = 117°

AB = 5 cm

t1 = 3 × 4 = 12 cm

t2 = 2 × 4 = 8 cm

t3 = 4 cm

L = (1/2 × AB × (t1 + t2)) – (2 × 1/2 × AB × t3)

L = (1/2 × 5 × (12 + 8)) – (2 × 1/2 × 5 × 4)

L = (1/2 × 5 × 20) – (2 × 1/2 × 5 × 4)

L = 50 – 20

L = 30 cm^2

d1 = (4x + 10) m

d2 = (6x – 2) m

d1 = d2

4x + 10 = 6x – 2

6x – 4x = 10 + 2

2x = 12

x = 12/2

x = 6

panjang diagonal taman sebenarnya

= (4x + 10) m

= (4(6) + 10) m

= (24 + 10) m

= 34 m