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DD Bisectors of ∠B and ∠C intersect at O. Prove that m∠BOC = 90 + A2.
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| DD The point of intersection of the altitudes of a triangle is known as DD |
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DD The point of intersection of the perpendicular bisectors of a triangle is known as
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| DD The point of concurrency of the interior angle bisectors of a triangle is known as DD |
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| DD AD¯ is the perpendicular bisector of BC¯. If AD = 24 cm and BD = 7 cm, then find AC. DD |
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DD If m∠BAI = 30 and m∠ACI = 25, then find m∠ABI.
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DD Which of the following always lies inside a triangle?
1. incenter
2. orthocenter
3. circumcenter
4. centroid DD |
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DD Find the m∠ADB in the given ΔABC, if AD¯ is the angle bisector of ∠BAC and if m∠ABC = 75 and m∠BCA = 65.
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| DD In ΔABC, the bisector AX¯ of ∠A intersects BC¯ at X; XL¯ ⊥ AB¯ and XM¯ ⊥ AC¯. If XL = 10 cm, then what is the length of XM? DD |
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| DD In which triangle the incenter and circumcenter coincide? DD |
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DD AD¯ is the angle bisector of ∠CAB. If AC = AB, then find ∠ADB.
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DD In the figure, AM¯ is the angle bisector of ∠PAQ, then find PM : MQ.
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DD In ΔABC, OB¯ and OC¯ are the angle bisectors of ∠B and ∠C respectively. If m∠A = 100 and m∠B = 30, then find m∠BOC.
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DD In ΔABC, D is a point on BC¯, m∠ABD = 86, m∠ACD = 44 and AD¯ is the bisector of ∠BAC. What is m∠ADC?
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DD In the figure, AE¯ is the angle bisector of ∠A. If m∠B = 30 and m∠C = 40, then find m∠EAD.
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| DD Two angles of a triangle have the measures as 45º and 65º. Which cannot be the measure of the bisected angle of an exterior angle of the triangle? DD |
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DD If the bisectors of ∠B and ∠C of an equilateral triangle meet at O, then what is the measure of ∠BOC?
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DD Bisectors of ∠B and ∠C intersect at O. Prove that m∠BOC = 90 + A2.
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DD OB¯ and OC¯ are the external bisectors of ∠B and ∠C of ΔABC. If ∠B = x and ∠C = y, then find m∠BOC.
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DD AP¯ bisects ∠A. m∠B = x, m∠ACD = y. Find m∠APC.
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DD In the figure, AM¯ is the angle bisector of ∠PAQ, then find PM : MQ.
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DD If in a triangle ABC, the bisectors of ∠ABC and ∠ACB meet at M, then find m∠BMC when m∠ABC = m∠ACB = 70.
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| DD The angle bisectors and perpendicular bisectors coincide for a/an DD |
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