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In this exercise, you are tasked with constructing a triangle \(ABC\) where:
- \(\angle BAC = 65^\circ\)
- \(\angle ABC = 54^\circ\)
- The line segment \(AB\) has already been drawn.

### Steps to complete part (a) — Construct the triangle:
1. **At point \(A\)**, use a protractor to measure and draw a \(65^\circ\) angle starting from line \(AB\). Extend the line to represent \(AC\).
2. **At point \(B\)**, use the protractor to measure a \(54^\circ\) angle starting from line \(AB\). Extend the line to represent \(BC\).
3. The point where the two extended lines from \(A\) and \(B\) meet is the third point \(C\), completing triangle \(ABC\).

### Part (b) — Measure the shortest side:
Once the triangle is drawn, use a ruler to measure the lengths of all sides of the triangle and determine which one is the shortest. This is typically either \(AC\) or \(BC\), depending on the drawing.

Would you like further details or have any questions? Here are some relative questions to think about:

1. What is the sum of all interior angles of a triangle?
2. How does changing the angles affect the shape of the triangle?
3. Can a triangle be constructed if the sum of two angles is greater than or equal to \(180^\circ\)?
4. What tools other than a protractor can be used to draw accurate angles?
5. How can you check if your construction of the triangle is accurate?

**Tip**: Always verify the sum of the interior angles to ensure your triangle construction is correct. It should sum to \(180^\circ\).

Construct triangle ABC where angle BAC = 65° and angle ABC = 54°. AB has already been drawn. Measure and write down the length of the shortest side.

Learn how to construct a triangle with given angles of 65° at vertex A and 54° at vertex B. Understand the steps involved in using a protractor and ruler to complete the triangle and measure the shortest side. This exercise involves key geometrical concepts and is suitable for students in Grades 8-10.

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