Home
Class 10
MATHS
BL and CM are medians of a triangle ABC ...

BL and CM are medians of a triangle ABC right angled at A. Prove that `4(BL^(2) + CM)^(2) = 5 BC^(2)` .

Text Solution

Verified by Experts

The correct Answer is:
`4(BL^(2) + CM)^(2) = 5 BC^(2)` .
Promotional Banner

Topper's Solved these Questions

  • SIMILAR TRIANGLES

    NCERT BANGLISH|Exercise DO THIS (FILL IN THE BLANKS)|6 Videos
  • SIMILAR TRIANGLES

    NCERT BANGLISH|Exercise DO THIS TRUE /FALSE|5 Videos
  • SETS

    NCERT BANGLISH|Exercise Try This|11 Videos
  • STATISTICS

    NCERT BANGLISH|Exercise THINK AND DISCUSS|8 Videos

Similar Questions

Explore conceptually related problems

ABC is an isosceles triangle right angled at C. Prove that AB^(2) = 2AC^(2) .

Write down the negation of each of the following compound statements : If triangle ABC is right angled at A , then AB^(2)+AC^(2)=BC^(2) .

In the right-angled ABC, /_A =1 right angle. BE and CF are two medians of Delta ABC . Prove that 4 ( BE^(2) + CF^(2)) =5 BC^(2)

AD and BE are the medians of the triangle ABC. Prove that DeltaACD=DeltaBCE .

In Delta ABC, AD_|_ BC . Prove that AB^(2) - BD^(2) =AC^(2) -CD^(2)

ABC is an equilateral triangle. AD is perpendicular to BC. Prove that AB^(2) + BC^(2) + CA^(2) =4AD^(2)

ABC is a right triangle right angled at B. Let D and E be any points on AB and BC respectively. Prove that AE^(2) + CD^(2) = AC^(2) + DE^(2) .

In the given figure, ABC is a triangle right angled at B. D and E are ponts on BC trisect it. Prove that 8AE^(2) = 3AC^(2) + 5AD^(2) .

In Delta ABC,/_A = right angle. If CD is a median, then prove that BC^(2) = CD^(2)+ 3AD^(2) .

ABC is a right-angled triangle of which /_A = right angle. P and Q are two points on AB and AC respectively.By joining P,Q,B,Q and C,P prove that BQ^(2) + PC^(2) = BC^(2) + PQ^(2)