Answer:
(First step for obtaining a common denominator for the two fraction)
Step-by-step explanation:
where,
a is acceleration of an object.(Need to calculate)
Now we will simplify above expression for a
First we make common denominator.
Common denominator is 7. So, we make both denominator 7. We multiply by 7 at top and bottom with 3. We get
(First step for obtaining a common denominator for the two fraction)
Now we combine the numerator
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.