Sadhana Bhadoriya

Ex – 6.2 Que No. 8 Q.8) Using Theorem 6.2, prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Recall that you have done it in Class IX). Solution:-

Ex – 6.2 Que No. 7 Q.7) Using Theorem 6.1, prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in Class IX). Solution:-

Ex – 6.2 Que No. 6 Q.6) In Fig. 6.21, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR. Solution:-

Ex – 6.2 Que No. 5 Q.5) In Fig. 6.20, DE || OQ and DF || OR. Show that EF || QR. Solution:-

Ex – 6.2 Que No. 4 Q.4) In Fig. 6.19, DE || AC and DF || AE. Prove that  BF/FE = BE/EC. Solution:-

Ex – 6.2 Que No. 3 Q.3) In Fig. 6.18, if LM || CB and LN || CD, prove that  AM/AB = AN/AD. Solution:-

Ex – 6.3 Que No. 16 Q.16) If AD and PM are medians of triangles ABC and PQR, respectively where △ABC ~ △PQR, prove that Solution:-

Ex – 6.3 Que No. 15 Q.15) A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower. Solution:-

Ex – 6.3 Que No. 14 Q.14) Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that △ABC ~ △PQR. Solution:-

Ex – 6.3 Que No. 13 Q.13) D is a point on the side BC of a triangle ABC such that ∠ADC = ∠BAC. Show that CA2 = CB.CD Solution:-