Similarity and Trigonometry Basics - Problems on Triangles
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Q. If the lengths of the sides of triangle PQR are in the ratio 3:4:5, what type of triangle is it?
Q. If triangle GHI is similar to triangle JKL and the length of side GH is 5 cm while side JK is 10 cm, 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 9 cm while side YZ is 3 cm, what is the scale factor from triangle YZ to triangle VWX?
Q. If triangle XYZ is similar to triangle PQR and the length of XY is 5 cm and PQ is 10 cm, what is the ratio of their areas?
Q. In triangle ABC, if AB = 12 cm, AC = 16 cm, and angle A = 60 degrees, what is the length of BC?
Q. In triangle ABC, if the lengths of sides AB and AC are equal, what type of triangle is ABC?
Q. In triangle DEF, if DE = 6 cm, DF = 8 cm, and EF = 10 cm, what is the area of the triangle?
Q. In triangle GHI, if angle G = 45 degrees and angle H = 45 degrees, what type of triangle is it?
Q. In triangle STU, if ST = 12 cm, TU = 16 cm, and SU = 20 cm, what is the perimeter of triangle STU?
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