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The problem is to arrange the steps to construct a right-angled triangle with a base of 10 cm and a hypotenuse of 13 cm in the correct order. The four steps are: 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.

GeometryGeometric ConstructionRight TriangleCompass and Straightedge
2025/6/16

1. Problem Description

The problem is to arrange the steps to construct a right-angled triangle with a base of 10 cm and a hypotenuse of 13 cm in the correct order. The four steps are:
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 steps to construct the right-angled triangle are as follows:
Step 1: Draw the base. This is step C.
Step 2: Use a pair of compasses to construct a perpendicular line at one end of the base. This is step A.
Step 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. This is step D.
Step 4: Draw the hypotenuse. This is step B.

3. Final Answer

The correct order of steps is C, A, D, B.

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