CONSTRUCT ANGLE ABC WHERE AB=AC=10cm AND BC=9cm .MEASURE AND WRITE DOWN THE SIZE OF ABC
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To construct Angle ABC where AB = AC = 10cm and BC = 9cm, follow these steps:
1. Draw a line segment AB of length 10cm.
2. At point A, use a compass to draw an arc with a radius of 10cm to intersect line segment AB. Label this point of intersection as C.
3. With the same radius, draw another arc at point B that intersects the first arc drawn in step 2. Label this point of intersection as D.
4. Connect points C and D to complete line segment CD.
5. With a compass, draw an arc with a radius of 9cm from point C, intersecting line segment BC. Label this point of intersection as E.
6. Connect points B and E to complete line segment BE.
7. The angle ABC is the angle formed by line segments AB and BC at point B.
To measure the size of angle ABC, you will need a protractor. Follow these steps:
1. Place the center of the protractor at point B, aligning the baseline of the protractor with line segment BA.
2. Check which side of the protractor is aligned with line segment BC. If the side with larger numbers is aligned, the angle is considered to be acute (less than 90 degrees). If the side with smaller numbers is aligned, the angle is considered obtuse (greater than 90 degrees).
3. Read the degree measure where line segment BC intersects the curved part of the protractor. This will give you the size of angle ABC.
Please note that without physically constructing or measuring the angle, I cannot provide you with the exact measurement.