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To determine the shortest side of a triangle, we can use the relationship between the angles and sides of the triangle. In any triangle, the side opposite the smallest angle is the shortest, while the side opposite the largest angle is the longest.

In the given triangle \( \triangle QRS \):
- \( \angle Q = 63^\circ \)
- \( \angle R = 70^\circ \)
- \( \angle S = 47^\circ \)

Here, \( \angle S = 47^\circ \) is the smallest angle. Therefore, the side opposite \( \angle S \) will be the shortest.

The side opposite \( \angle S \) is \( QR \). 

Thus, the shortest side of \( \triangle QRS \) is:
**D. \( QR \)**

Would you like further details or have any questions about this?

Here are 5 related questions to deepen your understanding:
1. How do you find the longest side of a triangle given its angles?
2. What is the relationship between the angles and sides in a right triangle?
3. Can the side lengths of any triangle be determined given only the angles?
4. What is the significance of the Law of Sines in determining side lengths of a triangle?
5. How does the Triangle Inequality Theorem help in comparing side lengths?

**Tip:** In any triangle, the larger the angle, the longer the side opposite it.

In ∆QRS, m∠Q = 63°, m∠R = 70°, and m∠S = 47°. Which side of ∆QRS is the shortest?

Learn how to find the shortest side of triangle QRS by using the angle-side relationship theorem. In this problem, you are given the angles of the triangle and must determine the shortest side. Suitable for Grade 9-10 students.

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