The sides of a triangle are in ratio of $$\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$$ . If the perimeter is 52 cm, then the length of the smallest side is :
A. 9 cm
B. 10 cm
C. 11 cm
D. 12 cm
Answer: Option D
Solution(By Examveda Team)
Ratio of sides = $$\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$$ = 6 : 4 : 3Perimeter = 52 cm
So, sides are :
$$\eqalign{ & \left( {52 \times \frac{6}{{13}}} \right)cm \cr & \left( {52 \times \frac{4}{{13}}} \right)cm\,\& \cr & \left( {52 \times \frac{3}{{13}}} \right)cm \cr} $$
So, a = 24 cm, b = 16 cm, and c = 12 cm
∴ Length of smallest side = 12 cm
Related Questions on Area
A. 15360 m2
B. 153600 m2
C. 30720 m2
D. 307200 m2
E. None of these
A. 2%
B. 2.02%
C. 4%
D. 4.04%
E. None of these
A. 16 cm
B. 18 cm
C. 24 cm
D. Data inadequate
E. None of these
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
A. 40%
B. 42%
C. 44%
D. 46%
Join The Discussion