How do I do constructions
1 answer:
Answer:
it depends
Step-by-step explanation:
The required tools are a compass and straightedge. A pencil or other drawing tool will also be useful (or you can use the marker in the compass).
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Generally, follow the applicable directions. The specific directions vary, depending on the construction you want to do. Numerous web sites and videos can show you step-by-step. (Search for "construction of ...") for whatever you're trying to construct.
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To construct a circle (or part of a circle), set the compass to the appropriate width, place the pointed end on the center of the circle, and rotate the marker in a circle around that point, taking care to ...
- keep the pointed end in the same spot,
- keep the width of the compass the same until your circle is complete.
To construct a line through two points, align the edge of the straightedge with the two points, and make a mark along that edge using your marking tool. (You may find that you need to make a slight adjustment in your alignment to account for the width of the marker).
All other constructions use combinations of these skills.
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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: