Answer:
Step-by-step explanation:
The mass of a bag of sugar, m = 1 kg = 0.001 g
Length of bag, l = 9.2 cm
Width of bag, b = 6 cm
Height of the bag, h = 14.1 cm
We need to find the density of the sugar bag.
Density = mass/volume
So,
So, the density of the bag 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.