Q8 of 49 Page 26

In the figure 1.76, seg PA, seg QB, seg RC and seg SD are perpendicular to line AD.

AB = 60, BC = 70, CD = 80, PS = 280 then find PQ, QR and RS.


(PROPERTY:If line AX || line BY || line CZ and line l and line m are their transversals then )

⇒


⇒


⇒


      [1]


And


⇒


⇒

    [2]


And,PS = 280


⇒ PQ + QR + RS = 280 ……(3)


From [1] and [2], we have


From [1], 

From [2]

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ΔMNT ~ ΔQRS. Length of altitude drawn from point T is 5 and length of altitude drawn from point S is 9. Find the ratio

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In figure 1.75, A – D – C and B – E – C seg DE || side AB If AD = 5, DC = 3, BC = 6.4 then find BE.

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In ΔPQR seg PM is a median. Angle bisectors of ∠PMQ and ∠PMR intersect side PQ and side PR in points X and Y respectively. Prove that XY || QR.


Complete the proof by filling in the boxes. In ΔPMQ, ray MX is bisector of ∠PMQ.


.......... (I) theorem of angle bisector.


In ΔPMR, ray MY is bisector of ∠PMR.


.......... (II) theorem of angle bisector.


But .......... M is the midpoint QR, hence MQ = MR.



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