Home
Class 10
MATHS
In a quadrilateral ABCD, lfloorB=90^(@)....

In a quadrilateral ABCD, `lfloorB=90^(@)`. If `AD^(2)=AB^(2)+BC^(2)+CD^(2)`, prove that `lfloorACD=90^(@)`.

Text Solution

Verified by Experts

The correct Answer is:
3PQ
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS - SHORT ANSWER TYPE - 2 QUESTIONS|7 Videos
  • TRIANGLES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS - LONG ANSWER TYPE QUESTIONS|10 Videos
  • TRIANGLES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS - VERY SHORT ANSWER QUESTIONS|10 Videos
  • SURFACE AREAS AND VOLUMES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS -HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|11 Videos

Similar Questions

Explore conceptually related problems

ABC is a right angled triangle, having lfloorB=90^(@) . If BD=DC , Show that AC^(2)=4AD^(2)-3AB^(2) OR Prove that area of the equilateral triangle described on the side of a square is half the area of the equilateral triangle described on its diagonal.

In an equilateral triangle ABC, AD _|_ BC . Prove that : AB^(2) + CD^(2) = 5/4 AC^(2)

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

ABCD is a quadrilateral. Is AB+BC+CD+DA>AC+BD?

ABC is an isosceles triangle with AC=BC . If AB^(2)=2AC^(2) , prove that ABC is a right triangle.

In Delta ABC , AD bot BC and AD^(2)= BD xx CD . Prove that AB^(2) + AC^(2) = (BD + CD)^(2)

A park, in the shape of a quadrilateral ABCD, has C=90^(@) , AB = 9 m, BC = 12 m, CD = 5 m and AD = 8m. How much area does it occupy?

In a right DeltaABC, lfloorB = 90^(@), AB = 3 cm , and AC = 6cm . Find lfloor C and lfloorA .

In an equilateral triangle ABC, D is a point on side BC such that BD = (1)/(3) BC. Prove that 9 AD^(2) = 7 AB^(2) .