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Solving Problems involving oblique triangles

Quiz by Cherdiane

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10 questions
Show answers
  • Q1
    In a triangle ABC, if angle A is 90 degrees and a = 3, b = 4, what is the length of side c using the law of sine and cosine?
    c = 5.
    c = 7
    c = 6
    c = 4.5
    30s
  • Q2
    In triangle ABC, side a = 7 cm, side b = 10 cm, and angle C = 45 degrees. Which formula allows you to find the length of side c?
    Pythagorean Theorem: a^2 + b^2 = c^2
    Heron\'s Formula: \text{Area} = \sqrt{s(s-a)(s-b)(s-c)}
    Law of Sines: \frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}
    Law of Cosines: c^2 = a^2 + b^2 - 2ab \cdot \cos(C).
    30s
  • Q3
    Given a triangle ABC with sides a = 8, b = 6, and c = 7, which formula would you use to find angle A?
    Area of a Triangle: \text{Area} = \frac{1}{2} \cdot b \cdot c \cdot \sin(A)
    Law of Sines: \frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}
    Law of Cosines: \cos(A) = \frac{b^2 + c^2 - a^2}{2bc}.
    Pythagorean Theorem: a^2 + b^2 = c^2
    30s
  • Q4
    Triangle JKL is an isosceles triangle with sides j = 8 and k = 8, and angle J = 40 degrees. Which formula would you use to find side l?
    Area of a Triangle: \text{Area} = \frac{1}{2} \cdot j \cdot k \cdot \sin(J)
    Law of Cosines: l^2 = j^2 + k^2 - 2jk \cdot \cos(J).
    Pythagorean Theorem: j^2 + k^2 = l^2
    Law of Sines: \frac{j}{\sin(J)} = \frac{k}{\sin(K)} = \frac{l}{\sin(L)}
    30s
  • Q5
    In triangle PQR, side p = 9, side q = 5, and angle Q = 120 degrees. Which formula should be used to find side r?
    Law of Sines: \frac{p}{\sin(P)} = \frac{q}{\sin(Q)} = \frac{r}{\sin(R)}
    Area of a Triangle: \text{Area} = \frac{1}{2} \cdot p \cdot q \cdot \sin(Q)
    Pythagorean Theorem: p^2 + q^2 = r^2
    Law of Cosines: r^2 = p^2 + q^2 - 2pq \cdot \cos(Q).
    30s
  • Q6

    It is an acronym used to memorize steps in solving problems involving oblique triangles

    SOHCAHTOA

    JFK

    SHOSHACAO

    DLIS.

    30s
  • Q7

    ______ an illustration of the given word problem

    DRAW.

    30s
  • Q8

    ______ the parts of a triangle created from the given word problem

    Identify

    Label.

    Draw

    Create

    30s
  • Q9

    ______ the case illustrated from the created triangles. Determine wether law of sine or law of cosine will be used

    Identify

    Solve

    Label

    Draw

    30s
  • Q10

    _______ for what is being find

    Solve.

    30s

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