A) 5.6 cm
B) 5.8 cm
C) 6.0 cm
D) 6.2 cm
Correct Answer: A
Solution :
For any two similar triangles, ratio of areas is equal to the ratio of the squares of any two corresponding sides. Hence, \[\frac{area\,\,of\,\,\Delta ABC}{area\,\,of\Delta XYZ}=\frac{A{{B}^{2}}}{X{{Y}^{2}}}\] \[\Rightarrow \,\,\,\,\,\,\,\frac{32}{60.5}=\frac{A{{B}^{2}}}{{{(7.7)}^{2}}}\] \[\Rightarrow \,\,\,\,\,\,\,\frac{32\times 59.29}{60.5}=A{{B}^{2}}\Rightarrow 31.36=A{{B}^{2}}\] \[\therefore \,\,\,\,\,\,AB=\,\sqrt{31.36}=\mathbf{5}.\mathbf{6}\text{ }\mathbf{cm}\]You need to login to perform this action.
You will be redirected in
3 sec