construct a right angled triangle MNO ,having hypotenuse ON = 65 mm and the median from the angular point O, making the angle ODN with the hypotenuse = 40 degree.
Is D meant to represent the midpoint of side MN (i.e. where the median from O touches it)? If so, angle ODN is obtuse, so can't be 40 degrees.
Perhaps a typo?
To construct a right-angled triangle MNO with the given specifications, follow these steps:
Step 1: Draw a line segment ON of length 65 mm, representing the hypotenuse of the triangle.
Step 2: Construct the median OD from point O. To do this, draw a line segment OD such that OD intersects the hypotenuse ON at a right angle.
Step 3: Determine the angle ODN using the given information. Draw a protractor and measure a 40-degree angle at point O, making sure it intersects the hypotenuse at point D.
Step 4: Complete the triangle by drawing lines from points M to N and from M to D. These lines should intersect with the hypotenuse ON at points N and M, respectively.
Step 5: Verify that the triangle meets the given specifications. Measure the length of ON to ensure it is 65 mm. Similarly, measure the length of MD and ND to confirm the desired lengths.
By following these steps, you will be able to construct a right-angled triangle MNO with a hypotenuse ON = 65 mm and an angle ODN = 40 degrees.