EASY
10th Manipur Board
IMPORTANT
Earn 100

If two triangles are similar, prove that the corresponding medians are proportional.

Important Questions on Triangles

EASY
10th Manipur Board
IMPORTANT
If two triangles are similar, prove that the corresponding altitudes are proportional.
EASY
10th Manipur Board
IMPORTANT
ABCD is a parallelogram and E is the midpoint of AB. If F is the point of intersection of DE and line BE. Prove that BC=BF.
EASY
10th Manipur Board
IMPORTANT
ABC is an isosceles triangle in which AB=AC and D is a point on AC such that BC2=AC×CD. Prove that BC=BD.
MEDIUM
10th Manipur Board
IMPORTANT
If in a triangle ABC, ADBC and AD2=BD×DC, prove that BAC=90°
EASY
10th Manipur Board
IMPORTANT
Find the height of a vertical tower which casts a shadow of length 36 m at the time when the shadow of a vertical post of length 5 m is 3 m.
HARD
10th Manipur Board
IMPORTANT
Prove that the line segment joining the midpoints of the sides of a triangle from four triangles, each of which is similar to the original triangle.
EASY
10th Manipur Board
IMPORTANT
In triangle ABC, DE is parallel to base BC with Don AB and E on AC. If ADDB=23, find BCDE.
MEDIUM
10th Manipur Board
IMPORTANT
In a ABC , P and Q are points on AB and AC respectively such that PQBC. Prove that median AD bisects PQ.