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5.In a triangle ABC, <B = 90°. If AB = 6 cmand BC = 8 cm, find AC.5. Find the smallest square number that isdivisible by each of the following numbers:(i) 4,9 and 10(ii) 6, 18,21 |
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Answer» Let us find LCM of 4, 9 and 104 = 2 x 29 = 3 x 310 = 5 x 2So, LCM = 22x 32x 5 = 180Now the LCM gives us a clue that if 180 is multiplied by 5 then it will become a perfect square.The Required number = 180 x 5 = 900 according to Pythagorean Theorem AC= √(6²+8²)AC= √(36+64)AC= √100AC= 10cm |
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