In the given figure, ABCD, DCFE and ABFE are parallelogram. Show that ar(ΔADE) = ar(ΔBCF).
Answers
In the given figure, ABCD, DCFE and ABFE are parallelogram. Show that ar(ΔADE) = ar(ΔBCF)
Given:
- In the given figure, ABCD, DCFE and ABFE are parallelogram
To find:
Show that ar(ΔADE) = ar(ΔBCF)
Solution:
☃️ Since ABCD a parallelogram, therefore sides AD and BC are equal.
☃️ Since, DCFE is also a parallelogram, therefore sides DE and FC are equal
☃️ Since, ABFE is also a parallelogram, therefore sides AE and BF are equal.
So, ∆ ADE and ∆ BCF are congruent by S-S-S congruency rule.
.°. Corresponding angles are equal in both triangles
Hence, the areas will be equal.
Therefore, ar(ΔADE) = ar(ΔBCF)
_________________________
Answer:
QUESTION:
In the given figure, ABCD, DCFE and ABFE are parallelogram. Show that ar(ΔADE) = ar(ΔBCF)
Answer:
★ Given:
In the given figure, ABCD, DCFE and ABFE are parallelogram
★ To find:
Show that ar(ΔADE) = ar(ΔBCF)
★ Solution:
❥Since ABCD a parallelogram, therefore sides AD and BC are equal.
❥Since, DCFE is also a parallelogram, therefore sides DE and FC are equal
❥ Since, ABFE is also a parallelogram, therefore sides AE and BF are equal.
So, ∆ ADE and ∆ BCF are congruent by S-S-S congruency rule.
.°. Corresponding angles are equal in both triangles
Hence, the areas will be equal.
Therefore, ar(ΔADE) = ar(ΔBCF)