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Construct triangle ABC with side AB = 7cm, angle BAC = 50 degrees, and angle ABC = 70 degrees.
Mathematics
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Step-by-step solution
4 stepsOkay Mallam, let's construct triangle ABC with the given measurements.
Here are the steps to construct triangle ABC, indicating where to stand and draw marks (which act like arcs for angle measurement):
Draw the base line segment AB.
- Draw a straight line using a ruler.
- Stand your pencil or compass point at a starting point on the line and label it A.
- Using your ruler, measure from point A along the line. Stand your pencil or compass point at this mark and label it B.
- Draw a clear line segment connecting A and B.
Construct at point A.
- Place the center of your protractor exactly on point A.
- Align the baseline of the protractor with the line segment AB.
- Starting from on the scale that aligns with AB, count up to .
- Make a small mark (this is your "specific arc" for the angle) on your paper at the reading.
- Draw a long ray (a line extending outwards) from point A passing through this mark.
Construct at point B.
- Place the center of your protractor exactly on point B.
- Align the baseline of the protractor with the line segment BA (make sure the mark is on the side of A).
- Starting from on the scale that aligns with BA, count up to .
- Make a small mark (your "specific arc" for this angle) on your paper at the reading.
- Draw a long ray from point B passing through this mark.
Locate point C and complete the triangle.
- The point where the ray from A and the ray from B intersect is point C.
- You have now constructed triangle ABC.
Regarding part (c) from your image:
The question asks "What type of triangle is triangle ABC?".
Given and , the third angle would be:Since all three angles () are less than , triangle ABC is an acute-angled triangle, not a right-angled triangle.
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