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Geometry Practice Questions - Page 4

Questions 31–40 of 56 · Page 4 of 6

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56
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Q31Consider the following statements: (I) If G is the centroid of ΔABC, then GA = GB = GC (II) If H is the orthocentre of ΔABC, then HA = HB = HC Which of the statements given above is/are correct?MediumSolve →Q32If in a triangle, the circumcentre, incentre, centroid and orthocentre coincide, then the triangle isMediumSolve →Q33Which one of the following is a Pythagorean triple in which one side differs from the hypotenuse by two units? Where, n is a positive real number.MediumSolve →Q34If the medians of a triangle are equal, then the triangle is:MediumSolve →Q35The Incenter of a triangle is determined by theMediumSolve →Q36The circum-centre of a triangle is determined by the:MediumSolve →Q37The point of intersection of the angle bisector of a triangle is:MediumSolve →Q38In ΔABC, AC = 5cm. Calculate the length of AE where DEBC Given that AD = 3 cm and BD = 7 cm.MediumSolve →Q39If O is the circum-centre of ΔABC and ΔOBC = 35°. Find ΔBACMediumSolve →Q40If G is the centroid and AD, BE, CF are three medians of ΔABC with area 72 cm₂, then the area of ΔBDG isMediumSolve →
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