mathemafia

Question 2: In Fig. 7.48, sides AB and AC of △ABC are extended to points P and Q respectively. Also, ∠PBC < ∠QCB. Show that AC > AB. Question 1 Question 3

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Question 1: Show that in a right angled triangle, the hypotenuse is the longest side. Ex: 7.3 | Question 5 Question 2

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Question 5: ABC is an isosceles triangle with AB = AC. Draw AP ⊥ BC to show that ∠B = ∠C. Question 4 Ex: 7.4 | Question 1

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Question 4: BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles. Question 3 Question 5

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Question 3: Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of △PQR (see Fig. 7.40). Show that: (i) △ABM ≅ △PQN (ii) △ABC ≅ △PQR…

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Question 2: AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that (i) AD bisects BC (ii) AD bisects A. Question 1 Question 3

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Question 1: △ABC and △DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see Fig. 7.39). If AD is extended to intersect BC at P, show that…

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Question 8: Show that the angles of an equilateral triangle are 60° each. Question 7 Ex: 7.3 | Question 1

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Question 7: ABC is a right angled triangle in which ∠A = 90° and AB=AC. Find ∠B and ∠C. Question 6 Question 8

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Question 6: △ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB (see Fig. 7.34). Show that ∠BCD is a right angle. Question 5 Question 7

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