Matematika

Pertanyaan

tolong dijawab no31-35 yang benar dengan caranya ya!
tolong dijawab no31-35 yang benar dengan caranya ya!

1 Jawaban

  • 31. K = s1 + s2 + s3
    36 = 10 + 2 s
    2s = 36 - 10
    2s = 26
    s = 13 cm.
    Karena segitiga sama kaki, maka ada 2 sisinya yang sama panjang yaitu 13 cm.
    t = √13² - (a:2)²
    t = √169 - (10:2)²
    t = √169 - 5² = √169 - 25 = √144
    t = 12 cm
    ➡L = a × t/2
    ➡L = 10 × 12/2
    ➡L = 10 × 6
    ➡L = 60 cm² (A)

    32. K = 2(a + b)
    54 = 2(a + 17)
    54 = 2a + 34
    2a = 54 - 34
    2a = 20
    a = AB = 10 cm
    ➡OB = √AB² - OA² = √10² - 6²
    ➡OB = √100 - 36 = √64
    ➡OB = 8
    ➡d1 = 2 × OB = 2 × 8
    ➡d1 = 16 cm
    OC = √BC² - OB² = √17² - 8²
    OC = √289 - 64 = √225
    OC = 15 cm
    d2 = OA + OC = 6 + 15
    d2 = 21 cm
    ➡L = d1 × d2 / 2
    ➡L = 16 × 21 / 2
    ➡L = 8 × 21
    ➡L = 168 cm² (A)

    33. PT = PR - RT
    PT = 25 - 16
    PT = 9 cm
    • ST = SQ : 2
    • ST = 24 : 2
    • ST = 12 cm
    PS = √PT² + ST² = √9² + 12 ²
    PS = √81 + 144 = √225
    PS = a = 15 cm
    • RS = √RT² + ST² = √16² + 12²
    • RS = √256 + 144 = √400
    • RS = b = 20 cm
    K = 2(a + b)
    K = 2(15 + 20) = 2(35)
    K = 70 cm (C)

    34. QS = √PQ² - PS²
    QS = √26² - 24²
    QS = √676 - 576 = √100
    QS = 10 cm
    • QR = √QS² - RS²
    • QR = √10² - 6²
    • QR = √100 - 36 = √64
    • QR = 8 cm
    L. Bangun = LΔ.PQS + LΔ.QRS
    L. Bangun = (a × t / 2) + (a × t / 2)
    L. Bangun = (24 × 10 / 2) + (6 × 8 / 2)
    L. Bangun = 120 cm² + 24 cm²
    L. Bangun = 144 cm² (B)

    35. 30° (A),caranya ada di gambar
    Gambar lampiran jawaban FinandaAzzahra