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In DeltaPQR, D is the mid-point of bar(Q...

In `DeltaPQR,` `D` is the mid-point of `bar(QR). then bar(PM)` is ___________,`PD` is___________. Is `QM=MR?`

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To solve the question step by step, let's analyze the triangle PQR with the given points and properties. ### Step 1: Identify the Triangle and Midpoint In triangle PQR, we know that D is the midpoint of the side QR. This means that the lengths of segments QD and DR are equal. **Hint:** Remember that the midpoint divides a line segment into two equal parts. ### Step 2: Define the Median ...
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Verify, whether D is the mid point of bar(AG) .

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Knowledge Check

  • In a triangle PQR, PQ=QR, A and B are the mid-points of bar(QR) and bar(PR) respectively. A circle passes through P,Q, A and B. Then which of the following is necessarily true?

    A
    `triangle` is equilateral
    B
    `triangle` is right isosceles
    C
    PQ is a diameter
    D
    Both a) and c)

  • A bar (AB) is 10.2 cm long. If P is the mid point of AB, then the length of bar(PB) is ____

    A
    4.8 cm
    B
    8.2 cm
    C
    5.1 cm
    D
    5.2 cm

  • If D is the mid -point of side AB of DeltaABC , then bar(AB) + bar(BC) + bar(AC) =

    A
    `2(bar(AD)-bar(BD))`
    B
    `2(bar(DC)-bar(BD))`
    C
    `2(bar(BD)-bar(CA))`
    D
    `2(bar(BD)-bar(AC))`

    • Similar Questions

    Explore conceptually related problems

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

    In DeltaPQR , if S is any point on side QR, show that PQ+QR+RP gt 2PS .

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

    In DeltaPQR,Pq=PR and S is the mid-point of PQ. A line drawn from S parallel to QR, intersects the line PR at T. Prove that PS = PT.

    In the figure above KLMN is a rectangle P, Q R, and S are the mid-points of bar(KL), bar(LM), bar(ML), and bar(NK) respectively. If angle KPS = 30^(@) then find angle QRS

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