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The sides of certain triangles are given below. Determine which of them are right triangles. (i) a = 7 cm, b = 24 cm and c = 25 cm (ii) a = 9 cm, b = 16 cm and c = 18 cm (iii) a = 1.6 cm, b = 3.8 cm and c = 4 cm (iv) a = 8 cm, b = 10 cm and c = 6 cm |
Answer» (i) a = 7, b = 24, c =25 Here a2 = 49, b2 = 576, c2 = 625 = a2 + b2 = 49 + 576 = 625= c2 ∴ So given triangle is a right angle. (ii) a=9, b=16, c= 18 Here a2 = 81, b2 = 256, c2 = 324 = a2 + b2 = 81 + 256 = 337 ≠ c2 So given Triangle is not a right angle. (iii) a =1.6, b =3.8, c = 4 Here a2 = 2.56, b2 = 14.44, c2 = 16 = a2 + b2 = 2.56 +14.44 =17 ≠ c2 So given Triangle is not a right angle. (iv) a = 8, b =10, c = 6 Here a2 = 64, b2 =100, c2 = 36 = a2 + c2 = 64 +36 = 100 = b2 So given Triangle is a right angle. |
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