Home
Class 10
MATHS
P and Q are the mid-points of the sides ...

P and Q are the mid-points of the sides CA and CB respectively of a `triangleABC` , right angled at C, prove that.
(i) `4AQ^(2)=4AC^(2)+BC^(2)` (ii) `4BP^(2)=4BC^(2)+AC^(2)` (iii) `4(AQ^(2)+BP^(2))5AB^(2)`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|10 Videos

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (SHORT ANSWER TYPE QUESTIONS-II)|39 Videos

  • REAL NUMBERS

    VK GLOBAL PUBLICATION|Exercise Self -Assessment Test|11 Videos

  • VALUE-BASED QUESTIONS

    VK GLOBAL PUBLICATION|Exercise Unit-VII : (Statistics & Probability)|8 Videos

Similar Questions

Explore conceptually related problems

P and Q are the mid point of the sides CA and CB respectively of a triangle ABC, right angled at C. then, find the value of 4 (AQ^(2) + BP^(2) ) .

P and Q are points on the sides CA and CB respectively of ABC, right angled at C. Prove that AQ^(2)+BP^(2)=AB^(2)+PQ^(2)

L and M are the mid points of AB and BC respectively of DeltaABC , right angled at B . 4LC^(2)=

In triangleABC , angleA= 60^(@) prove that BC^(2)= AB^(2)+AC^(2)- AB . AC

P and Q are points on the sides AB and AC respectively of a triangleABC . If AP= 2cm, PB = 4cm AQ= 3cm and QC= 6cm. Show that BC= 3PQ.

If P and Q are points on the sides AB and AC respeactively of triangleABC , if PQ||BC,l AP= 2 cm , AB = 6 cm and AC= 9 cm find AQ.

If E is a point on side r:A of an equilateral triangle ABC such that BE bot CA , then prove that AB^(2) +BC^(2) +CA^(2) = 4BE^(2) .

In a ABC,/_ABC=135o. Prove that AC^(2)=AB^(2)+BC^(2)+4ar(ABC)

P and Q are the points on sides AB and AC respectively of a DeltaABC , such that PQ||BC .If AP|PB=2:3 and AQ=4 cm , then the length of AC is ….. Cm .