In the given figure, A ABC - APQR. The value of y + z will be Q B 6 8 3 30 30% P y R А 43
(a) 2/2 +3
(b) 3/3+4
(c) 3V2+1
(d) 2/3 +2
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Answer:
Correct option is
B
4+33
△PQR is a right angle triangle then
(QR)2=(PR)2+(PO)2
(6)2=(y)2+(3)2
y=36−9
y=27
y=9×3
y=33
△ABC is a right angle triangle then
(BC)2=(AB)2+(AC)2
(8)2=(z)2+(43)2
z=64−48
z=16
z=4
∴y+z=4+33
Or
This can be done using SSS criteria as both triangles are given to be similar.
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