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
Mathematics for Class 10>Chapter 7 - Triangles>EXERCISE 7.4>Q 1
If two triangles are similar, prove that the corresponding altitudes are proportional.
EASY
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 7 - Triangles>EXERCISE 7.4>Q 2
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
Mathematics for Class 10>Chapter 7 - Triangles>EXERCISE 7.4>Q 3
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
Mathematics for Class 10>Chapter 7 - Triangles>EXERCISE 7.4>Q 4
If in a triangle ABC, AD⊥BC and AD2=BD×DC, prove that ∠BAC=90°
EASY
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 7 - Triangles>EXERCISE 7.4>Q 5
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
Mathematics for Class 10>Chapter 7 - Triangles>EXERCISE 7.4>Q 6
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
Mathematics for Class 10>Chapter 7 - Triangles>EXERCISE 7.4>Q 7
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
Mathematics for Class 10>Chapter 7 - Triangles>EXERCISE 7.4>Q 8
In a △ABC , P and Q are points on AB and AC respectively such that PQ∥BC. Prove that median AD bisects PQ.