Last day - Get 125 SSC CGL mocks for just Rs. 199. Enroll now
Exam Info
Free Content
Study Material
Courses
AP
TS
Consider the two equiangular triangles ABC and DEF having medians as AL and DM respectively as shown in figure below.
$$\frac{BC}{EF}=\frac{DM}{AL}$$
$$\frac{BC}{EF}=\frac{AL}{DM}$$
$$\frac{EF}{BC}=\frac{AL}{DM}$$
All options are Correct
It is given that $$\triangle$$ ABC and $$\triangle$$ DEF are equiangular triangles, thus corresponding angles are equal.
=> $$\triangle$$ ABC $$\sim\triangle$$ DEF
=> Ratio of perimeter = $$\frac{AB}{DE}=$$ $$\frac{BC}{EF}=$$ $$\frac{AC}{DF}$$ -------------(i)
Since, AL and DM are medians, => Ratio of perimeter of $$\triangle$$ ABC to $$\triangle$$ DEF = $$\frac{AL}{DM}$$ -----------(ii)
From, equations (i) and (ii), we get :
=> $$\frac{BC}{EF}=\frac{AL}{DM}$$
=> Ans - (B)
Create a FREE account and get:
Ask doubts feature is currently unavailable for you. You can reach us at support@cracku.in for any further details/doubts.
Boost your Prep!