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In P Q R ,\ \ Q M|P R and P R^2-P Q^2=Q...

In ` P Q R ,\ \ Q M_|_P R` and `P R^2-P Q^2=Q R^2` . Prove that `Q M^2=P MxxM R`

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Knowledge Check

  • If P : Q : R = 2 : 3 : 4 and P^(2)+Q^(2)+R^(2)=11,600 , then find (P+Q-R) .

    A
    15
    B
    16
    C
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    D
    20

  • If P : Q = 2 : 3 and P : R = 4 : 5, then what is (P + Q) : (Q + R)?

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    B
    `20 : 17`
    C
    `10 : 11`
    D
    `20 : 29`

  • If P : Q : R = 2 : 3 : 4 and P^(2)+Q^(2)+R^(2)=11600 , then find P+Q-R , where P, Q, and R are whole numbers.

    A
    15
    B
    16
    C
    18
    D
    20

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    In figure PS is the bisector of /_Q P R of DeltaP Q R . Prove that (Q S)/(S R)=(P Q)/(P R) .

    In P Q R , M and N are points on sides P Q and P R respectively such that P M=15 c m and N R=8c m . If P Q=25 c m and P R=20 c m state whether M N Q R .

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