1. Both triangles are congruent by: a. angle-angle-side congruence theorem.
Using the trigonometric ratios, we have:
2. C. 9
3. C. 4√3
4. B. sin C
What is the Angle-angle-side Congruence Theorem?
The angle-angle-side congruence theorem states that two triangles are congruent to each other if they both have two pairs of corresponding congruent angles and a pair of non-included congruent side.
What is the Trigonometric Ratio?
To solve any right triangle, the following Trigonometric ratios can be employed:
sin ∅ = opp/hyp
cos ∅ = adj/hyp
tan ∅ = opp/adj.
1. Both triangles can be proven to be congruent based on: a. angle-angle-side congruence theorem.
2. Given the points, A(-2, 6) and B(-2, -3), the distance between both points is:
AB = |6 - (-3)| = 9 units
The answer is: C. 9
3. Apply the sine ratio:
sin 60 = opp/hyp = m/8
m = (sin 60)(8)
m = (√3/2)(8) [sin 60 = √3/2]
m = 4√3
The answer is: C. 4√3
4. Using the sine ratio:
sin C = opp/hyp = 8/17
The answer is: B. sin C
Learn more about the angle-angle-side congruence theorem on:
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