Similarity and Trigonometry Basics - Problems on Triangles - Problem Set
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Q. If the coordinates of points A(1, 2) and B(4, 6) are given, what is the distance AB?
Q. If 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 ratio of their corresponding sides is 2:3, what is the ratio of their areas?
Q. In triangle DEF, if DE = 6 cm, DF = 8 cm, and EF = 10 cm, what is the area of triangle DEF?
Q. In triangle GHI, if angle G = 50 degrees and angle H = 70 degrees, what is the length of side GH if side GI = 10 cm?
Q. In triangle MNO, if MN = 5 cm, NO = 12 cm, and MO = 13 cm, is triangle MNO a right triangle?
Q. In triangle STU, if angle S = 45 degrees and angle T = 45 degrees, what is the type of triangle STU?
Q. What is the length of the altitude from the vertex of a triangle to the base if the base is 12 cm and the area is 36 cm²?
Q. What is the perimeter of an equilateral triangle with a side length of 8 cm?
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