IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 898 - 898 of 968

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Question number: 898

» Coordinate Geometry

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Question

The given diagram represents some beams which supports part of a roof. If , then the length of the bean AD is________.

Quadrilateral poly1Quadrilateral poly1: Polygon A, B, C, DTriangle poly2Triangle poly2: Polygon A, E, DAngle βAngle β: Angle between A, D, A’Angle βAngle β: Angle between A, D, A’Angle αAngle α: Angle between E’, A, EAngle αAngle α: Angle between E’, A, EAngle γAngle γ: Angle between B, A, CAngle γAngle γ: Angle between B, A, CAngle γAngle γ: Angle between B, A, CAngle δAngle δ: Angle between A, C, DAngle δAngle δ: Angle between A, C, DAngle δAngle δ: Angle between A, C, DSegment aSegment a: Segment [A, B] of Quadrilateral poly1Segment bSegment b: Segment [B, C] of Quadrilateral poly1Segment cSegment c: Segment [C, D] of Quadrilateral poly1Segment dSegment d: Segment [D, A] of Quadrilateral poly1Segment d_1Segment d_1: Segment [A, E] of Triangle poly2Segment a_1Segment a_1: Segment [E, D] of Triangle poly2Segment eSegment e: Segment [D, A] of Triangle poly2Segment fSegment f: Segment [A, C] Point AA = (5.8, -0.04) Point AA = (5.8, -0.04) Point AA = (5.8, -0.04) Point BB = (5.24, -3.56) Point BB = (5.24, -3.56) Point BB = (5.24, -3.56) Point CC = (9.38, -3.56) Point CC = (9.38, -3.56) Point CC = (9.38, -3.56) Point DD = (9.34, -0.02) Point DD = (9.34, -0.02) Point DD = (9.34, -0.02) Point EE = (9.32,3.4) Point EE = (9.32,3.4) Point EE = (9.32,3.4) Point A’Point A’: A rotated by angle 90°Point A’Point A’: A rotated by angle 90°8text1 = “8”

The Figure Made by Two Geometry Shapes

Choices

Choice (4)Response

a.

b.

c.

d.

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