Similarity and Trigonometry Basics - Problems on Triangles - Case Studies
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Q. If the lengths of the sides of triangle PQR are 7 cm, 24 cm, and 25 cm, what is the perimeter of triangle PQR?
Q. If triangle DEF is similar to triangle GHI, and the lengths of DE and GH are 4 cm and 8 cm respectively, what is the ratio of the areas of the two triangles?
Q. If triangle VWX is similar to triangle YZ, and the length of side VW is 10 cm while the corresponding side YZ is 15 cm, what is the ratio of the lengths of the sides?
Q. If two triangles are similar and the length of a side in the first triangle is 6 cm while the corresponding side in the second triangle is 9 cm, what is the scale factor from the first triangle to the second?
Q. In triangle ABC, if AB = 8 cm, AC = 6 cm, and angle A = 60 degrees, what is the length of side BC using the Law of Cosines?
Q. In triangle MNO, if angle M = 45 degrees and angle N = 45 degrees, what type of triangle is MNO?
Q. In triangle STU, if angle S = 30 degrees and angle T = 45 degrees, what is the measure of angle U?
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