Advertisements
Advertisements
Question
In ∆DEF, DN, EO, FM are medians and point P is the centroid. Find the following
If OE = 36 then EP = ?
Advertisements
Solution
Given DN, EO, FM are medians.
∴ FN = EN
DO = FO
EM = DM
If OE = 36
then `"EP"/"PO" = 2/1`
`"EP"/2` = PO
OE = OP + PE
36 = `"PE"/2 + "PE"`
36 = `"PE"/2 + (2"PE")/2`
36 = `(3"PE")/2`
PE = `(36 xx 2)/3`
PE = 24
APPEARS IN
RELATED QUESTIONS
In the given figure, if seg PR ≅ seg PQ, show that seg PS > seg PQ.
Draw an isosceles triangle. Draw all of its medians and altitudes. Write your observation about their points of concurrence.
In the given figure, A is the midpoint of YZ and G is the centroid of the triangle XYZ. If the length of GA is 3 cm, find XA
In ∆DEF, DN, EO, FM are medians and point P is the centroid. Find the following
If DE = 44, then DM = ?
In ∆ABC, AD is the bisector of ∠A meeting BC at D, CF ⊥ AB and E is the mid-point of AC. Then median of the triangle is ______.
If we join a vertex to a point on opposite side which divides that side in the ratio 1 : 1, then what is the special name of that line segment?
What is the point where the medians of a triangle meet called?
The centroid divides each median in what ratio?
In a triangle, where is the centroid always located?
Which statement is true about medians?
