7.2 Q3 ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively. Show that these altitudes are equal

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7.2 Q4 ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal. Show that

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7.2 Q5 ABC and DBC are two isosceles triangles on the same base BC. Show that ABD = ACD.

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7.2 Q6 Triangle ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB. Show that angle BCD is a right angle.

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7.2 Q7 ABC is a right angled triangle in which angle A = 90 deg and AB = AC. Find angle B and C.

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7.2 Q8 Ex: 7.2 Q8 Show that angles of an equilateral triangle is 60 deg each.

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7.3 Q1 ABC and DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC. If AD is extended to intersect BC at P, show that

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7.3 Q2 AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that (i) AD bisects BC (ii) AD bisects angle A.

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7.3 Q3 Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of tri PQR. Show that:

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7.3 Q4 BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.

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7.2 Q3 ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively. Show that these altitudes are equal

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7.2 Q4 ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal. Show that

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7.2 Q5 ABC and DBC are two isosceles triangles on the same base BC. Show that ABD = ACD.

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7.2 Q6 Triangle ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB. Show that angle BCD is a right angle.

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7.2 Q7 ABC is a right angled triangle in which angle A = 90 deg and AB = AC. Find angle B and C.

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7.2 Q8 Ex: 7.2 Q8 Show that angles of an equilateral triangle is 60 deg each.

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7.3 Q1 ABC and DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC. If AD is extended to intersect BC at P, show that

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7.3 Q2 AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that (i) AD bisects BC (ii) AD bisects angle A.

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7.3 Q3 Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of tri PQR. Show that:

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7.3 Q4 BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.