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RRB Assistant Loco Pilot and Technician Model Paper 1 with solutions
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© examsnet.com
Question : 12
Total: 100
The perimeter of a triangle is 40cm and its area is 60
cm
2
. If the largest side measures 17cm, then the length (in cm) of the smallest side of the triangle is
4
6
8
15
Validate
Solution:
(c) Smallest side of the triangle = x cm (let)
Second side of triangle
= 40 – 17 – x = 23 – x
Semi perimeter = s = 40/2 =20
∴
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
= 60
⇒ (20 – x) (x – 3) = 60
⇒ 20x – 60 –
x
2
+ 3x = 60
⇒
x
2
– 23x + 120 = 0
⇒
x
2
– 15x – 8x + 120 = 0
⇒ x (x – 15) – 8 (x – 15) = 0
⇒(x – 8) (x – 15) = 0
⇒ x = 8 or 15
© examsnet.com
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