The problem asks for the steps to construct triangle $XYZ$ given that $XY = 10$ cm, $XZ = 7$ cm, and angle $YXZ = 50^\circ$. The steps are given in four options A, B, C, and D, and the goal is to put them in the correct order.

GeometryTriangle ConstructionGeometric ConstructionAnglesSide Lengths
2025/4/21

1. Problem Description

The problem asks for the steps to construct triangle XYZXYZ given that XY=10XY = 10 cm, XZ=7XZ = 7 cm, and angle YXZ=50YXZ = 50^\circ. The steps are given in four options A, B, C, and D, and the goal is to put them in the correct order.

2. Solution Steps

The steps to construct the triangle are as follows:

1. Draw side $XY$ with length 10 cm. This corresponds to option C.

2. Put the center of a protractor on $X$ and mark $50^\circ$ from $XY$. This corresponds to option A.

3. Place a ruler between $X$ and the $50^\circ$ mark. Draw a 7 cm line from $X$ to $Z$. This corresponds to option D.

4. Draw side $YZ$ to complete the triangle. This corresponds to option B.

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

3. Final Answer

C, A, D, B

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