Matematika

Pertanyaan

tolong dijawab, klo bisa jwb dengan benar dan tepat saya jadiin yang terbaik(no 1 dan 3 yaaaa......)
tolong dijawab, klo bisa jwb dengan benar dan tepat saya jadiin yang terbaik(no 1 dan 3 yaaaa......)

2 Jawaban

  • 1. a.
    x^2 = 15^2 + 12^2
    x^2 = 225 + 144
    x^2 = 369
    x = 369^(1/2)
    x = 3 × (akar pangkat 2 dari 41)

    b.
    x^2 = 13^2 - 5^2
    x^2 = 169 - 25
    x^2 = 144
    x = 144^(1/2)
    x = 12

    c.
    a^2 = 10,6^2 - 5,6^2
    a^2 = 112,36 - 31,36
    a^2 = 81
    a = 81^(1/2)
    a = 9 inchi

    d.
    x^2 = 10,4^2 - 9,6^2
    x^2 = 108,16 - 92,16
    x^2 = 16
    x = 16^(1/2)
    x = 4m

    e.
    x^2 = 8^2 - 6^2
    x^2 = 64 - 36
    x^2 = 28
    x = 28^(1/2)
    x = 2 × (akar pangkat 2 dari 7)

    f.
    c^2 = 7,2^2 + 9,6^2
    c^2 = 51,84 + 92,16
    c^2 = 144
    c = 144^(1/2)
    c = 12 kaki

    3.
    a. x^2 = 20^2 - 12^2
    x^2 = 400 - 144
    x^2 = 56
    x = 56^(1/2)
    x = 2 × (akar pangkat 2 dari 14) cm

    b.
    x^2 = 35^2 + n^2
    x^2 = 35^2 + (13^2 - 5^2)
    x^2 = 1225 + (169 - 25)
    x^2 = 1225 + 144
    x^2 = 1369
    x = 1369^(1/2)
    x = 37 mm

  • Soal No. 1
    a). a = 12, b = 15, c = x
    [tex]c= \sqrt{a^2+b^2} \\ \\ c= \sqrt{12^2+15^2}= \sqrt{144 + 225}= \sqrt{369}= \sqrt{9 \times 41}= \sqrt{3^2} \times \sqrt{41} \\ \\ c=x=3 \sqrt{41}[/tex]

    b) a = 5, b = x, c = 13
    [tex]b= \sqrt{c^2-a^2} \\ \\ b= \sqrt{13^2-5^2}= \sqrt{169-25}= \sqrt{144}= \sqrt{12^2} \\ \\ b=x=12[/tex]

    c) a = ?, b = 5,6 inch, c = 10,6 inch
    [tex]a= \sqrt{c^2-b^2} \\ \\ a= \sqrt{(10,6)^2-(5,6)^2}= \sqrt{112,36-31,36}= \sqrt{81}= \sqrt{9^2} \\ \\ a=9\ inch[/tex]

    d) a = ?, b = 9,6 m, c = 10,4 m
    [tex]a= \sqrt{c^2-b^2} \\ \\ a= \sqrt{(10,4)^2-(9,6)^2}= \sqrt{108,16-92,16}= \sqrt{16}= \sqrt{4^2} \\ \\ a=4\ m[/tex]

    e) a = 6, b = x, c = 8
    [tex]b= \sqrt{c^2-a^2} \\ \\ b= \sqrt{8^2-6^2}= \sqrt{64-36}= \sqrt{28}= \sqrt{4 \times 7}= \sqrt{2^2} \times \sqrt{7} \\ \\ b=x=2 \sqrt{7} [/tex]

    f) a = 9,6 feet, b = 7,2 feet, c = ?
    [tex]c= \sqrt{a^2+b^2} \\ \\ c= \sqrt{(9,6)^2+(7,2)^2}= \sqrt{92,16 + 51,84} = \sqrt{144}= \sqrt{12^2} \\ \\ c=12\ feet[/tex]

    Soal No. 3
    a. a = x, b = 12 cm, c = 20 cm
    [tex]a= \sqrt{c^2-b^2} \\ \\ a= \sqrt{20^2-12^2}= \sqrt{400-144}= \sqrt{256}= \sqrt{16^2} \\ \\ a=x=16\ cm[/tex]

    b. 
    - Segitiga Kecil : a = 5 mm , b = ? , c = 13 mm
    [tex]b= \sqrt{c^2-a^2} \\ \\ b= \sqrt{13^2-5^2}= \sqrt{169-25}= \sqrt{144}= \sqrt{12^2}\\ \\ b=12\ mm[/tex]

    - Segitiga Besar : a = 35 mm, b = 12 mm, c = x
    [tex]c= \sqrt{a^2+b^2} \\ \\ c= \sqrt{35^2+12^2}= \sqrt{1.225 + 144} = \sqrt{1.369}= \sqrt{37^2} \\ \\ c=37\ mm[/tex]

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