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In Matematika / Sekolah Menengah Atas | 2025-07-17

Diketahui panjang AB = 37 cm, AC = 15 cm, BC = 26 cm, dan tingginya t. Nilai t adalah ...
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Asked by gilsop4889

Answer (3)

1 and 50 2 and 25 2 and 50 5 and 50 10 and 50 25 and 50

Answered by AL2006 | 2024-06-10

The two numbers that have an LCM of 50 can include pairs like (1, 50), (2, 25), and (10, 25). Each pair yields an LCM of 50. Therefore, there are multiple combinations that satisfy the condition.
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Answered by AL2006 | 2024-10-02

Nilai t adalah A. 12 cm[tex]\\[/tex]Diketahui Panjang AB (alas) = 37 cmPanjang  AC = 15 cmPanjang BC = 26 cmPanjang tinggi = t Ditanyakan Nilai tPenyelesaianSoal ini dapat diselesaikan dengan rumus [tex]\bf t = AB ~\cdot~ \sin{{B}}[/tex]Langkah 1: Menentukan cos BKarena besar [tex]\angle B[/tex] tidak diketahui secara langsung, kita bisa pakai aturan cosinus.[tex]\rm AC^2 = BC^2+AB^2 -2 (BC)(AB)\cdot \cos{B}[/tex]Sehingga[tex]\begin{aligned}\rm\cos{(B)} &=\rm \frac{BC^2+AB^2 -AC^2}{2 (BC)(AB)} \\ &=\rm \frac{26^2+37^2 -15^2}{2 (26)(37)} \\ &=\rm \frac{676+1369-225}{2\times 26 \times 37} \\ &= \frac{1820}{1924} \\ &\approx \frac{35}{37} \end{aligned}[/tex]Langkah 2: Menghitung sin B[tex]\begin{aligned}\rm\sin{(B)} &=\rm \sqrt{1-\cos^2(B)} \\ &= \sqrt{1-{\left(\frac{35}{37}\right)}^2} \\ &=\rm \sqrt{1-\frac{1225}{1369}} \\ &=\sqrt{\frac{144}{1369}} \\ &= \frac{12}{37} \end{aligned}[/tex]Langkah 3: Menghitung nilai t[tex]\begin{aligned}\rm t &=\rm AB\cdot \sin{(B)} \\ \rm t &= 37 \times \frac{12}{37} \\ \rm t &= \rm 12~ cm \end{aligned}[/tex][tex]\\[/tex]#semangatbelajar

Answered by akhwatreal | 2025-07-27