Can anyone please help me with this question??????
2 answers:
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of
is
Solution:
Given of what number is
.
Let us first convert the mixed fraction into improper fraction.
Now, let us take the unknown number be x.
Do the cross multiplication.
Now, again change the improper fraction into mixed fraction.
Hence of
is
.
Given that ∠B ≅ ∠C.
to prove that the sides AB = AC
This can be done by the method of contradiction.
If possible let AB =AC
Then either AB>AC or AB<AC
Case i: If AB>AC, then by triangle axiom, Angle C > angle B.
But since angle C = angle B, we get AB cannot be greater than AC
Case ii: If AB<AC, then by triangle axiom, Angle C < angle B.
But since angle C = angle B, we get AB cannot be less than AC
Conclusion:
Since AB cannot be greater than AC nor less than AC, we have only one possibility. that is AB =AC
Hence if angle B = angle C it follows that
AB = AC, and AB ≅ AC.