Home
Class 10
MATHS
In the given fig. if AD botBC Prove ...

In the given fig. if AD `bot`BC
Prove that `AB^(2) + CD^(2) = BD^(2) + AC^(2) ` .

Promotional Banner

Topper's Solved these Questions

  • SIMILAR TRIANGLES

    NCERT BANGLISH|Exercise EXERCISE - 8.1|9 Videos

  • SIMILAR TRIANGLES

    NCERT BANGLISH|Exercise EXERCISE - 8.2|13 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

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

ABCD is a rhombus.Prove that AB^(2) + BC^(2) +CD^(2) + DA^(2) = AC^(2) + BD^(2)

If in DeltaABC, AD_|_ BC, then prove that AB^(2) + CD^(2) = AC^(2) + BD^(2)

A perpendicular AD is drawn on BC from the vertex A of the acute Delta ABC . Prove that AC^(2) = AB^(2) +BC^(2) -2BC.BD OR Prove that the square drawn on the opposite side of theacute angle of an acute triangle is equal to the areas of the sum of the squares drawn on its other two sides being subtracted by twice the area of the rectangle formed by one of its sides and the projection of the other side to this side.

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) .

If the diagonals of the quadrilateral ABCD intersect each other orthogonally,then prove that AB^(2) + CD^(2) = BC^(2) + DA^(2)

In the given figure, LM || CB and LN || CD Prove that (AM)/(AB) = (AN)/(AD)

Two perpendicular BD and CE are drawn from the vertices B and C respectively on the sides AC and AB of the Delta ABC ,which intersect each other at the point P. Prove that AC^(2) + BP^(2) = AB^(2) + CP^(2)

In Delta ACB, angle C = 90^(@) and CD bot AB Prove that (BC^(2))/(AC^(2)) = (BD)/(AD) .