If the lengths of the three median lines of a triangle are 3, 4 and 5, then the circumference of the triangle is 3______ .

If the lengths of the three median lines of a triangle are 3, 4 and 5, then the circumference of the triangle is 3______ .


∵ the lengths of the three median lines of the triangle are 3,4,5 respectively; the lengths of the three sides of the triangle are 6,8,10 respectively; the circumference of the triangle is 6 + 8 + 10 = 24



If the ratio of the three sides of a triangle is 4:5:6 and its circumference is 75 cm, what is the longest median line in the triangle?


Let the three sides be 4K, 5K and 6K respectively
Then: 4K + 5K + 6K = 75
The three sides are: 20, 25 and 30
The longest median line must be parallel to and half of the longest edge, that is, 30 * 1 / 2 = 15
A: the longest median line of this triangle is 15cm long



If the three median lines of a triangle are 3cm, 4cm and 6cm, the perimeter of the triangle is ()
A. 13cmB. 26cmC. 24cmD. 6.5cm


The three median lines of ∵ triangle are 3cm, 4cm and 6cm respectively. The three sides of ∵ triangle are 6cm, 8cm and 12cm respectively. The perimeter of ∵ triangle is 6 + 8 + 12 = 26cm