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271. In the given figure, ∠CAB =

90 degree

and AD is perpendicular to BC. If AC = 15 cm, AB = 20 cm and BD = 16 cm, find AD.

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272. ∆ABC ~ ∆DEF and their areas are respectively 64 cm² and 121 cm². If EF = 15.4 cm, find BC.

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Solution not provided.
Ans. 60cm²

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274. In fig. DE || BC. If DE = 2 cm, BC = 4 cm and area (∆ADE) = 12 sq. cm, find the area of ∆ABC.

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275. The side of an equilateral triangle ABC is 5 cm. Find the side of another equilateral triangle PQR whose area is 4 times the area of ∆ABC.

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276. In fig. ∆ABR ~ ∆PQR. If PQ = 3 cm, AB = 6 cm, BR = 8.2 cm and PR = 5.2 cm, then find the value of QR and AR.

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277. In fig. ∆ABC ~ ∆PQR. Determine the values of x and y.

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278. In the given, if ∠A = ∠C, then show that:

space AB over OB equals CD over OD.

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279. Urvashi goes 10 metres due east and then 30 m due north. Find her distance from the starting point.

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280. A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from the base of the wall.

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