Class 9 – Triangles

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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Question 5: ABC and DBC are two isosceles triangles on the same base BC (see Fig. 7.33). Show that ∠ABD = ∠ACD. Question 4 Question 6

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Question 4: ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see Fig. 7.32). Show that (i) △ABE ≅ △ACF(ii) AB = AC, i.e., ABC is an isosceles triangle. Question 3 Question…

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Question 3: ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Fig. 7.31). Show that these altitudes are equal. Question 2 Question 4

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Question 2: In △ABC, AD is the perpendicular bisector of BC (see Fig. 7.30). Show that △ABC is an isosceles triangle in which AB = AC. Question 1 Question 3

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Question 1: In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O. Show that : (i) OB = OC (ii) AO bisects ∠A Ex: 7.1 |…

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Question 8: In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B…

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Question 7: AB is a line segment and P is its mid-point. D and E are points on the same side of AB such that ∠BAD = ∠ABE and ∠EPA = ∠DPB (see Fig. 7.22). Show that (i) △DAP ≅…

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Question 6: In Fig.7.21, AC=AE, AB=AD and ∠BAD = ∠EAC. Show that BC = DE. △ Question 5 Question 7

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