8) In the adjoining figure, the least line segment drawn from point P to AB is A) PQ B) QR C) PS D) PT
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Answered by
0
Answer:
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Step-by-step explanation:
Correct option is
D
100
o
Given: PA=6 cm, PB=3 cm, PC=2.5 cm, PD=5 cm
PD
PA
=
5
6
PC
PB
=
2.5
3
=
5
6
Thus,
PD
PA
=
PC
PB
In △APB and △DPC,
PD
PA
=
PC
PB
...Given
∠APB=∠DPC ...Vertically opposite angles
Hence, △APB∼△DPC ....S.A.S test of similarity
Hence, ∠A=∠D=30
o
Now, In △APB,
Sum of angles =180
o
∠A+∠B+∠APB=180
30+50+∠B=180
o
∠B=100
Answered by
2
Answer:
PR is the shortest line segment
Step-by-step explanation:
Perpendicular from a point to a line is always the shortest path
PR<PS<PQ<PT
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