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The problem asks to put the steps for constructing a right-angled triangle with a base of 10 cm and a hypotenuse of 13 cm in the correct order. The steps are given as: A: Use a pair of compasses to construct a perpendicular line at one end of the base. B: Draw the hypotenuse. C: Draw the base. D: With the pair of compasses 13 cm wide, and the tip of the compass at the other end of the base, draw an arc that crosses the perpendicular line.

GeometryTriangle ConstructionRight-Angled TriangleGeometric Construction
2025/6/16

1. Problem Description

The problem asks to put the steps for constructing a right-angled triangle with a base of 10 cm and a hypotenuse of 13 cm in the correct order. The steps are given as:
A: Use a pair of compasses to construct a perpendicular line at one end of the base.
B: Draw the hypotenuse.
C: Draw the base.
D: With the pair of compasses 13 cm wide, and the tip of the compass at the other end of the base, draw an arc that crosses the perpendicular line.

2. Solution Steps

The correct order of constructing the triangle is as follows:

1. Draw the base (10 cm).

2. Construct a perpendicular line at one end of the base.

3. With the pair of compasses 13 cm wide, and the tip of the compass at the other end of the base, draw an arc that crosses the perpendicular line.

4. Draw the hypotenuse.

Therefore, the correct order is C, A, D, B.

3. Final Answer

C, A, D, B

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