Question

There is a park with two triangular jogging tracks. Rahul and Arjun went for jogging. The park had a route map which mentioned that the sides of jogging tracks with the same colour have the same length and nothing was mentioned about different coloured sides.

Which of the following is true?

• A. Black track = Green track
• B. Red track = Green track
• C. Black track = Red track
• D. Blue track = Green track

Answer 1

The correct option is A Black track = Green track

In given triangles, corresponding red coloured and blue coloured paths are equal and their included angles are also equal.

So, by SAS congruence criterion, both triangles are congruent.

Since congruent triangles have equal corresponding sides,
Black track = Green track