IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 649 - 649 of 1022

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Question number: 649

» Triangle and Its Properties



In the figure (not drawn to scale), ABC is an equilateral triangle and BCD is an isosceles triangle with DB = DC, find x.

Triangle poly1 Triangle poly1: Polygon A, B, C Arc d Arc d: Semicircle through E and F Arc e Arc e: Semicircle through J and K Segment c Segment c: Segment [A, B] of Triangle poly1 Segment a Segment a: Segment [B, C] of Triangle poly1 Segment b Segment b: Segment [C, A] of Triangle poly1 Segment f Segment f: Segment [A_1, C_1] Segment g Segment g: Segment [D_1, G] Segment h Segment h: Segment [H, I] Segment i Segment i: Segment [B, D] Segment j Segment j: Segment [D, C] Segment g_1 Segment g_1: Segment [D_2, G_1] Segment g_2 Segment g_2: Segment [D_3, G_2] Segment f_1 Segment f_1: Segment [A_2, C_2] Segment f_2 Segment f_2: Segment [A_3, C_3] Point A A = (3.08,4.82) Point A A = (3.08,4.82) Point A A = (3.08,4.82) Point B B = (1.12,1.58) Point B B = (1.12,1.58) Point B B = (1.12,1.58) Point C C = (5.24,1.58) Point C C = (5.24,1.58) Point C C = (5.24,1.58) Point D D = (3.14,3.36) Point D D = (3.14,3.36) Point D D = (3.14,3.36) 96â° text1 = “96â°” x text1_1 = “x”

Image of a Triangle ABC Having Another Triangle BCD in It

Showing an image of a triangle ABC having another triangle BCD in it


Choice (4) Response





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