Home
Class 10
MATHS
In the figure , M is the midpoint of QR ...

In the figure , M is the midpoint of QR .
` angle PRQ = 90^(@)`.
Prove that ,
`PQ^(2) = 4PM^(2) - 3PR^(2)` .

Text Solution

Verified by Experts

The correct Answer is:
` PQ^(2) = 4PM^(2) - 3PR^(2)` .
Promotional Banner

Topper's Solved these Questions

  • PYTHAGORAS THEOREM

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 2.2|5 Videos

  • PYTHAGORAS THEOREM

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PROBLEM SET-2|30 Videos

  • PYTHAGORAS THEOREM

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE ( 2 MARK QUESTIONS )|2 Videos

  • PROBABILITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNEMENT 5.4|12 Videos

  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise CHALLENGIN QUESTIONS|2 Videos

Similar Questions

Explore conceptually related problems

In the figure, M is the midpoint of QR . /_PRQ=90^(@) . Prove that PQ^(2)=4PM^(2)-3PR^(2)

If S is the mid-point of side QR of a DeltaPQR , then prove that PQ+PR=2PS .

In PQR,QM perp PR and PR^(2)-PQ^(2)=QR^(2). Prove that QM^(2)=PM xx MR

In DeltaPQR, point S is the midpoint of side QR. If PQ =11, PR =17 PS =13 , find QR.

In the figure , S is the midpoint of seg PQ . Line ST || side QR and PT =5 cm , then find PR. Justify your answer.

In the given figure, PR gt PQ and PS bisects angle QPR. Prove that angle PSR gt angle PSQ .

In the figure, angle PRQ=90^@ , write sin P and cos Q.