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. asked in Science & MathematicsMathematics · 9 years ago

Two triangles I need help sovling?

I have a SAS triangle with the first side measuring 3, the angle measuring 15 degrees, and the second side measuring 4.

my second triangle is AAS with the first angle measuring 52 degrees, the second angle measuring 45 degree, and the side measuring 12.

Can anyone please fill out the rest of the angles and sides on these two triangles (and preferably show how you did it) so I can understand. Thanks so much!

1 Answer

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  • 9 years ago
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    ≡ ≈ ≅ ≠ ≤ ≥ · ~ ± ∓ ∤ ◅∈ ∉ ⊆ ⊂ ∪ ∩ ⊥ ô

    ∫ Σ → ∞ Π Δ Φ Ψ Ω Γ ∮ ∇∂ √ ∅ °

    α β γ δ ε ζ η θ ι κ λ μ ν ξ ο π ρ σ τ υ φ χ ψ ω

    ⁰ ¹ ² ³ ⁴ ⁵ ⁶ ⁷ ⁸ ⁹ ⁺ ⁻ ⁿ ₀ ₁ ₂ ₃ ₄ ₅ ₆ ₇ ₈ ₉ ₊ ₋

    ⅓ ⅔ ⅕ ⅖ ⅗ ⅘ ⅙ ⅚ ⅛ ⅜ ⅝ ⅞

    SAS triangle

    Remaining side = √[3² + 4² -2*3*4*cos 15] = 1.348

    angles IFO 3 and 4 are given respectively as sin-1[(3*sin 15)/1.348] = 35.17 degree and angle IFO 4 = sin-1[(4*sin 15)/1.348] = 50.17 degree

    Second triangle

    Remaining angle = 180-(45+52) = 83 side IFO 45 = (12*sin 45)/sin 83 = 8.55

    and side IFO 52 = (12*sin 52)/sin 83 = 9.53

    and

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