Question

Two mountains in form of △ABC and △DEF, represent two congruent triangles. Which of the following statement is correct regarding the given figure?

• A. DF = 7000 m and BC = 8500 m
• B. Perimeter of △ABC = 22,500 m
• C. $\angle C=\angle F$
• D. All of the above

Answer 1

The correct option is D All of the above


Here the two triangles ABC and DEF are congruent to each other.

So,
Congruent sides, DF = AC = 7000 m
Congruent sides, BC = EF = 8500 m

∴ Perimeter of mountain ABC is:
= AB + BC + CA

=7000 m + 8500 m + 7000 m

= 22,500 m

Perimeter of △ABC = 22,500 m

As, ∠C of △ABC corresponds to ∠F of △DEF,
so, ∠C = ∠F.

∴ Option (4) is correct.