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Which result is used alongside the three trigonometric ratios to solve two-dimensional problems?
AThe mid-point theorem
BThe theorem of Pythagoras
CThe remainder theorem
DThe factor theorem rule
Answer & Solution
Correct answer: B. The theorem of Pythagoras
1. The three trigonometric ratios are sine, cosine and tangent.
2. Each ratio links one angle to two of the three sides of a right-angled triangle.
3. Sometimes a problem gives two sides and needs the third one before a ratio can be used.
4. The theorem of Pythagoras supplies that missing third side.
5. These three ratios and the theorem of Pythagoras together solve two-dimensional problems.
6. The mid-point theorem belongs to geometry of triangles and says nothing about angles in a right-angled triangle.
_Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 11: Trigonometry_
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