A. Construct ∆XYZ In wich XY
=11.9cm and XYZ = 60 °
B. Construct M The Mid point of XZ
C. Measure YM
Where is Z? Just knowing one side and an angle tells you nothing about where Z, so where is the midpoint of XZ?
Construct the question
First of all draw an isocelese triangle (for your sketch)
Then draw a baser of 11.9cm then construct 60 degree
What is YM
A. To construct triangle XYZ with XY = 11.9cm and XYZ = 60°, follow these steps:
1. Draw a line segment XY of length 11.9cm.
2. Set your compass radius to the length of XY, and place the compass at point X.
3. Draw an arc across XY to create point Z.
4. Set your compass radius to any length, and place the compass at point Z.
5. Draw an arc that intersects the arc from step 3 at point Y.
6. Connect points X, Y, and Z to form triangle XYZ.
B. To construct the midpoint M of XZ, follow these steps:
1. Draw a line segment XZ.
2. Place your compass at point X and set the compass radius to half the length of XZ.
3. Draw an arc that intersects XZ.
4. Place your compass at point Z and set the compass radius to the same length as in step 2.
5. Draw another arc that intersects the first arc drawn in step 3.
6. Label the point of intersection between the two arcs as M.
7. Connect points X and M to form line segment XM.
C. To measure YM, you can use a ruler or any other measuring tool. Simply place one end of the ruler at point Y and extend it along the line segment YM until you reach point M. Read the measurement on the ruler to determine the length of YM in the desired unit (centimeters, inches, etc.).