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Answer:
Step-by-step explanation:
Rectangular prism volume is given by following formula
Volume = length x Width x height
For example if length = 3cm ,width = 4 cm and height = 5 cm
then its volume = 3x4x5 = 60
The comparison of the lengths of the sides based on the angles are given
by sine rule.
The lengths of the sides from greatest to least are;
- <u>BC > AC > AB</u>
Reasons:
The given parameters are;
∠A = 78°, ∠B = 56°, ∠C = 46°
By sine rule, we have;
Given that, sin(46°) ≈ 0.719, sin(56°) ≈ 0.829, sin(78°) ≈ 0.978, we have;
sin(78°) > sin(56°) > sin(46°)
Therefore, applying equal proportions of similar ratios, we have;
<u>BC > AC > AB</u>
Learn more about sine rule here: