construct a triangle ABC where AB=8.5 and BC=6.2.
There would be an infinite number of such triangles.
What part of the instructions are you having difficulties with ?
draw a line
mark point A.
mark point B at a distance of 8.5 units away from A.
Now, draw a circle of radius 6.2, with center at B.
Point C can be anywhere on the circle just drawn.
To construct a triangle ABC where AB = 8.5 and BC = 6.2, you will need to follow these steps:
Step 1: Draw a line segment AB of length 8.5 cm. This will be the base of the triangle.
Step 2: At point B, draw a ray that forms an acute angle with AB. This ray will be one side of the triangle.
Step 3: Use a compass to measure a length of 6.2 cm. Place the compass on point B and draw an arc that intersects the ray you drew in Step 2. Label the point of intersection as C.
Step 4: Draw a line segment from point C to point A. This will complete the triangle.
Now you have constructed triangle ABC where AB = 8.5 cm and BC = 6.2 cm.