# NCERT Mathematics Class 10 Exemplar Ch 6 Triangles Part 5

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8. In Fig. 6.11, if , find the ratio of ar (ADE) and ar (DECB).

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9. ABCD is a trapezium in which and P and Q are points on AD and BC, respectively such that . If , and , find AD.

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10. Corresponding sides of two similar triangles are in the ratio of . If the area of the smaller triangle is , find the area of the larger triangle.

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11. In a triangle PQR, N is a point on PR such that . If , prove that .

12. Areas of two similar triangles are and . If the length of a side of the larger triangle is , find the length of the corresponding side of the smaller triangle.

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13. In Fig. 6.12, if , and , find BD.

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14. A 15 metres high tower casts a shadow 24 metres long at a certain time and at the same time, a telephone pole casts a shadow 16 metres long. Find the height of the telephone pole.

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15. Foot of a long ladder leaning against a vertical wall is away from the base of the wall. Find the height of the point on the wall where the top of the ladder reaches.

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