10th Class Mathematics Triangles Question Bank Case Based MCQs - Triangles

Directions: Q. 6 to 10

Aashi wants to make a toran for Home using some pieces of cardboard. She cuts some cardboard pieces as shown below. If perimeter of \[\Delta ADE\] and \[\Delta BCE\] are in the ratio 4:3, then answer the following questions.

Based on the above information, answer the following questions

If the two triangles here are similar by SAS similarity rule, then their corresponding proportional sides are

A) \[\frac{AE}{CE}=\frac{DE}{BE}\]

B) \[\frac{BE}{AE}=\frac{CE}{DE}\]

C) \[\frac{AD}{CE}=\frac{BE}{DE}\]

D) None of these

Correct Answer: B

Solution :

\[\Delta AED\tilde{\ }\Delta BEC\] [by SAS rule] \[\frac{AD}{BC}=\frac{ED}{CE}=\frac{AE}{BE}\] \[\Rightarrow \,\,\,\frac{BE}{AE}=\frac{CE}{ED}\]