using a ruler a pair of compass only construct (1)triangle abc with [ab]=10cm,angle abc=30° and angle bac=45°
solve it for me
once is enough, please
Repeated postings will not get faster or better responses.
Not much we can really do. How are we supposed to draw this by typing :/
To construct a triangle ABC with [AB] = 10 cm, ∠ABC = 30°, and ∠BAC = 45° using only a ruler and a pair of compass, follow the steps below:
Step 1: Draw a line segment AB of length 10 cm using the ruler.
Step 2: Place the compass point on point A and draw an arc that intersects the line AB. Label the intersection point as D.
Step 3: Adjust the compass width to point B and draw an arc from point D, intersecting the previous arc at point C.
Step 4: With the compass width still the same, place the compass point on point C and draw the arc to intersect line AB, labeling the intersection point as E.
Step 5: Draw a line segment AC by using the ruler to connect points A and C.
Step 6: Measure and verify that ∠ABC = 30° using a protractor.
Step 7: Measure and verify that ∠BAC = 45° using a protractor.
Now you have successfully constructed triangle ABC with [AB] = 10 cm, ∠ABC = 30°, and ∠BAC = 45° using only a ruler and a pair of compass.
To construct a triangle ABC with a ruler and a pair of compasses, given the length of one side and two angles, follow the steps below:
Step 1: Draw a line segment AB of 10 cm using a ruler.
Step 2: At point A, use a compass to draw an arc with a radius greater than 5 cm.
Step 3: Without changing the compass width, place the compass at point B and draw an arc that intersects the previous arc.
Step 4: Carefully connect the points of intersection with lines, forming a triangle.
Step 5: Label the vertices of the triangle as A, B, and C.
Step 6: Measure the angles using a protractor. Angle ABC should measure 30°, and angle BAC should measure 45°.
Note: The accuracy of the construction depends on your precision while drawing arcs and connecting the points.
For solving the construction-related problem, I have already provided you with the instructions. However, if you have any specific questions regarding the construction or need any further assistance, feel free to ask.