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Let AB = AC = x. The length of the median is given as 9 cm, and the angle between the median and AB is 30°. Using the cosine rule in triangle AMB, where M is the midpoint of BC: AM² = AB² + BM² - 2 × AB × BM × cos 60°. AM = 9, BM = BC/2 = x/2. Substituting the values: 9² = x² + (x/2)² - 2 × x × (x/2) × cos 60°, 81 = x² + x²/4 - x².1/2. x² = 54 x = 7.35 Answer: b) 7.35 cm.
1648, 1690, 1741, 1807, 1938, 2140
178, 184, 196, 216, 246, 286
640Â Â Â 1920Â Â Â 240Â Â Â 720Â Â Â 92Â Â Â 270
3, 15, 35, 63, 99, 143
2592 1300 656 331 169.5 88.75
...Find the wrong number in given number series.
1490, 1377, 1294, 1211, 1138, 1075Â Â Â Â
119, 145, 186, 249, 340, 483
15, 30, 30, 20, 10, 8
135, 148, 109, 174, 87, 200Â
1001, 934, 863, 790, 711, 630, 539