MEDIUM
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In a triangle ABC, D is the mid point of AB, E is the mid point of DB and F is the mid point of BC. If the area of ABC is 96 sq. units, then the area of AEF is

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Important Questions on Triangle and Its Properties

MEDIUM

XM is a median in XYZ, XY2+XZ2=328 and XM=8 then YZ= _____.

MEDIUM
In a triangle ABC, the medians AD and BE intersect at G. A line DF is drawn parallel to BE such that F is on AC. If AC=9 cm, then what is CF equal to?
EASY

In Δ DEF, DN, EO, FM are medians and point P is the centroid. Find the following.

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IF DE=44, then DM=?

HARD

ABC is a triangle in which D is a midpoint of BC and E is the midpoint of AD such that the area of BED=K area of ABC. Find K.

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EASY

Write the definition of the median of a triangle.

EASY
A line segment, joining any vertex of a triangle to the midpoint of its opposite sides, is called a
EASY

In Δ DEF, DN, EO, FM are medians and point P is the centroid.

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If DO=8, then FD=?

MEDIUM

Draw rough sketches for the following:

In ΔABC, BE is a median.

EASY
In ABC, AD is the bisector of A meeting BC at D, CFAB and E is the mid-point of AC. Then median of the triangle is
EASY
In ΔABC, the medians AD,BE and CF pass through G. If BG=6, then BE is _____
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EASY
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?
EASY
If AD is the median of ΔABCBC=6 cm and the length of DC=k cm, then find the value of k.
EASY

In a ΔABC, AB=AC and ALBC. Name the altitude and median of ΔABC.
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EASY
The median of a triangle divides it into two
MEDIUM

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If CG is the median of ΔECD, what is the mid-point of side ED?

EASY

How many medians are there in a triangle? 

MEDIUM
Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
MEDIUM
If ADis a median of ABC and P is a point on ACsuch that ar(ADP):ar(ABD)=2:3 then ar(PDC):ar(ABC) is