Question

# There is a park with two triangular jogging tracks. Rahul and his friend Arjun are jogging. The park has a route map which mentioned that the sides of jogging tracks with the same color have the same length and nothing is mentioned about different colored sides. Which of the following is true?

A

black track = green track

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B

red track = green track

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C

black track = red track

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D

blue track = green track

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Solution

## The correct option is A black track = green track If you analyze the two triangles, there is one red colored, one blue colored path in both the triangles and the angle included between them is also equal. By SAS congruence criterion, both triangles are congruent. Since, congruent triangles have equal corresponding sides, black track = green track

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