construct a triangle ABC in which ab is equal to 6 CM angle A is equal to 60 degree and BC is equal to 5 cm then constructive similar triangle to it whose sides are 3 by 4 of the corresponding sides of angle abc
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Answer:
To construct a triangle ABC with given sides and angles, and then construct a similar triangle with sides 3/4 the length of the corresponding sides of ABC, follow these steps:
1. Construct triangle ABC:
Start by drawing a line segment AB = 6 cm. This will be the base of your triangle. At point A, draw an angle of 60 degrees using a protractor. This angle will be angle A. From point A, measure BC = 5 cm, which will be the length of side BC. Connect point B to point C to complete triangle ABC.
2. Construct a similar triangle to ABC:
To construct a similar triangle to ABC with sides 3/4 the length of the corresponding sides, follow these steps:
a. Draw a ray AD that starts at point A and extends beyond point A.
b. On ray AD, mark a point D such that AD is 3/4 times the length of AB (AD = 3/4 * AB).
c. Draw a line DE parallel to BC, where E is on side AC (you can use a set square or a ruler to ensure the lines are parallel).
d. Connect point B to point E. Triangle ADE is the desired similar triangle to ABC.
Now you have triangle ABC with sides AB = 6 cm, BC = 5 cm, and angle A = 60 degrees, and you've constructed a similar triangle ADE to ABC with sides 3/4 the length of the corresponding sides of ABC.