if two similar triangle are equal areas than the two angle are
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Answer:
Data: △ABC∼△DEF
ar(△ABC)=ar(△DEF)
To Prove: △ABC≅△DEF
Proof:
ar(△DEF)
ar(△ABC)
=
DE
2
AB
2
=
EF
2
BC
2
=
FD
2
CA
2
[∵ Theorem of areas of similar triangles]
1=
DE
2
AB
2
=
EF
2
BC
2
=
FD
2
CA
2
[∵ By data areas are equal]
⇒AB
2
=DE
2
∴AB=DE
BC
2
=EF
2
∴BC=EF
CA
2
=FD
2
∴CA=FD
∴△ABC≅△DEF [∵ SSS]
Step-by-step explanation:
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Answer: If two similar triangle are equal areas than the two angle are EQUAL.
Explanation : Two similar triangles have same angles if there areas are equal
so they are said to be congruent triangles.
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