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Draw a line segment XZ of any desired length. This will form the base of your triangle.

Chemistry

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Answer

For Example 21, to construct an isosceles triangle XYZ such that XY=YZ=8 cmXY = YZ = 8 \text{ cm}, follow these steps. Since the length of the base XZ is not specified, you can choose any length for it.

Step-by-step solution

6 steps
  1. Draw a line segment XZ of any desired length.

    This will form the base of your triangle.

  2. Open your compass to a radius of 8 cm8 \text{ cm}.

  3. Place the compass needle at point X and draw an arc above the line segment XZ.

  4. Without changing the compass opening, place the compass needle at point Z and draw another arc that intersects the first arc.

  5. Label the point where the two arcs intersect as Y.

  6. Draw straight lines to connect point X to point Y, and point Y to point Z.

    The resulting triangle XYZ will be an isosceles triangle with XY=YZ=8 cmXY = YZ = 8 \text{ cm}.

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