9:{"metadata":[["$","title","0",{"children":"IIM-B (BBA-DBE) 2025 #1 - In ABC, AD is the bisector of A meeting BC at D. If AB = 30 cm, BC = 20 cm and the length of BD is 4 cm less than DC, then the length (in cm) of AC is | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined Given Information: - Triang<= ABC with ang<= bisector AD meeting BC at D - AB = 30 cm - BC = 20 cm - BD is 4 cm <=ss than DC

Since BD is 4 cm <=ss than DC: - Let DC = x cm - Then BD = (x - 4) cm Since D lies on BC: BD + DC = BC (x - 4) + x = 20 2x - 4 = 20 2x = 24 x = 12 Therefore: DC = 12 cm and BD = 8 cm

When a line bisects an ang<= of a triang<=, it divides the opposite side in the ratio of the adjacent sides. The Ang<= Bisector Theorem states: BDDC = ABAC Substituting our values: 812 = 30AC

Cross multiply: 8 AC = 12 30 8 AC = 360 AC = 3608 AC = 45 cm Answer: AC = 45 cm"}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"IIM-B (BBA-DBE),QA,Geometry,Triangles"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"property":"og:title","content":"IIM-B (BBA-DBE) 2025 #1 - In ABC, AD is the bisector of A meeting BC at D. If AB = 30 cm, BC = 20 cm and the length of BD is 4 cm less than DC, then the length (in cm) of AC is | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined Given Information: - Triang<= ABC with ang<= bisector AD meeting BC at D - AB = 30 cm - BC = 20 cm - BD is 4 cm <=ss than DC

Since BD is 4 cm <=ss than DC: - Let DC = x cm - Then BD = (x - 4) cm Since D lies on BC: BD + DC = BC (x - 4) + x = 20 2x - 4 = 20 2x = 24 x = 12 Therefore: DC = 12 cm and BD = 8 cm

When a line bisects an ang<= of a triang<=, it divides the opposite side in the ratio of the adjacent sides. The Ang<= Bisector Theorem states: BDDC = ABAC Substituting our values: 812 = 30AC

Cross multiply: 8 AC = 12 30 8 AC = 360 AC = 3608 AC = 45 cm Answer: AC = 45 cm"}],["$","meta","9",{"property":"og:url","content":"/past-year-questions/iimb-bbadbe/2025/slot-1/QA/13"}],["$","meta","10",{"property":"og:site_name","content":"AfterBoards | IIM-B (BBA-DBE) 2025 #1 Preparation"}],["$","meta","11",{"property":"og:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","meta","12",{"property":"og:type","content":"website"}],["$","meta","13",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","14",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","15",{"name":"twitter:title","content":"IIM-B (BBA-DBE) 2025 #1 - In ABC, AD is the bisector of A meeting BC at D. If AB = 30 cm, BC = 20 cm and the length of BD is 4 cm less than DC, then the length (in cm) of AC is | PYQs + Solutions"}],["$","meta","16",{"name":"twitter:description","content":"undefined Given Information: - Triang<= ABC with ang<= bisector AD meeting BC at D - AB = 30 cm - BC = 20 cm - BD is 4 cm <=ss than DC

Since BD is 4 cm <=ss than DC: - Let DC = x cm - Then BD = (x - 4) cm Since D lies on BC: BD + DC = BC (x - 4) + x = 20 2x - 4 = 20 2x = 24 x = 12 Therefore: DC = 12 cm and BD = 8 cm

When a line bisects an ang<= of a triang<=, it divides the opposite side in the ratio of the adjacent sides. The Ang<= Bisector Theorem states: BDDC = ABAC Substituting our values: 812 = 30AC

Cross multiply: 8 AC = 12 30 8 AC = 360 AC = 3608 AC = 45 cm Answer: AC = 45 cm"}],"$L18","$L19","$L1a","$L1b","$L1c","$L1d","$L1e","$L1f","$L20","$L21"],"error":null,"digest":"$undefined"}

IIM-B (BBA-DBE) 2025 #1 (QA) PYQs

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