Construct a triangle xyz, /yz/= 4cm, yzx=135 and/ xz / =8cm. 2 measure/xy/. I want how to construct the triangle
I want to know how to construct a triangle
draw YZ of length 4
construct angle Z by making a right angle, then bisecting it
draw a circle at Y with radius 8
extend the line from Z till it intersects the circle. That will be X.
Draw YX, ZX
To construct the triangle XYZ, follow these steps:
1. Draw a line segment YZ of length 4 cm. This will be the base of the triangle.
2. At point Y, draw a line segment YX making an angle of 135 degrees with line segment YZ.
3. Use a compass to measure a distance of 8 cm from point Y along line segment YX. Mark this point as Z.
4. Draw a line segment ZX connecting points Z and X.
You have now constructed the triangle XYZ.
To find the length of line segment XY, follow these steps:
1. Draw a line segment ZY connecting points Z and Y.
2. Bisect line segment ZY to find its midpoint. Let's call this point M.
3. Using a compass, measure the distance from point M to point X. This will give you half of the length of line segment XY.
4. Set the compass to the measured distance and place the compass on point M.
5. Draw an arc that intersects line segment YX twice. Let's label these points of intersection as A and B.
6. Draw line segments AM and BM.
Now, the length of line segment XY is equal to twice the distance from point M to point X. Measure the length of line segment AB or AM, and multiply it by 2 to get the final measure of line segment XY.