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Asked by Samit Last Modified
Answer To construct the bisector AD of angle A and the perpendicular AL from A on BC, and then measure angle LAD, follow these steps using only a ruler and compass:
Draw a line segment BC of length 7 cm.
At one end of BC, mark point B.
With B as the center and a radius of 6 cm, draw an arc to intersect the line segment BC. Mark this point as A.
With A as the center and a radius of 8 cm, draw an arc to intersect the line segment BC. Mark this point as C.
Connect points A, B, and C to form triangle ABC.
To construct the bisector of angle A (AD):
a. With compass, draw an arc from point A that intersects both sides of angle A.
b. Without changing the compass width, draw two arcs from the points where the first arc intersects the sides of angle A, creating two points of intersection on the arc.
c. Draw a straight line from point A through the point of intersection of the two arcs, extending beyond side BC. Label this line as AD.
To construct the perpendicular from A on BC (AL):
a. With compass width greater than half of BC (7 cm), draw two arcs centered at points B and C, intersecting each other above BC.
b. Label these intersection points as L and M.
c. Draw a straight line from point A through point L, perpendicular to BC. Label this line as AL.
Measure the angle LAD using a protractor.
Now, you have constructed the bisector AD of angle A and the perpendicular AL from A on BC. Measure the angle LAD using a protractor.
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