Construct a triangle ABC such that BC = 5.2cm,AB=4.8cm and median CM=3.6cm.
To construct a triangle ABC such that BC = 5.2 cm, AB = 4.8 cm, and the median CM = 3.6 cm, follow these steps:
Step 1: Draw a line segment BC of length 5.2 cm. This will be one side of your triangle.
Step 2: Find the midpoint of line segment BC. To do this, draw a line segment AC that intersects BC, and mark the point where they intersect as point M.
Step 3: Draw a line segment AM of length 3.6 cm. This represents the median CM of the triangle.
Step 4: Draw a circle with center M and a radius of 3.6 cm. This circle will intersect line segment BC at two points, which we will label as D and E.
Step 5: Draw line segments AD and AE. These line segments represent the other sides of the triangle.
Step 6: Label the intersection of line segment AD and line segment BC as point A.
Step 7: Finally, connect points A, B, and C to complete triangle ABC.
You have now constructed a triangle ABC such that BC = 5.2 cm, AB = 4.8 cm, and the median CM = 3.6 cm.
construct AB with length 4.8
find the midpoint M of AB
with M as center, draw a circle P with radius 3.6
with B as center, draw a circle Q with radius 5.2
Where P intersects Q is C.