CBSE Class 10 Answered
question
Asked by arindeep.singh | 17 Sep, 2020, 11:19: AM
Expert Answer
The sum is: a + b = 49
so, a = 49 - b
Using Pythagorean Theorem:
perpendicular2 + base2 = hypotenuse2
(49 - b)2 + b2 = 412 (by substitution)
2401 - 98b + b2 + b2 = 1681
2b2 - 98b + 720 = 0 (take 2 common from L.H.S)
b2 - 49b + 360 = 0
(b - 9)(b - 40) = 0
b = 9 or b = 40
In this case, either solution will do.
If b = 9, then a = 49 - b = 49 - 9 = 40.
Or if b = 40, then a = 49 - b = 49 - 40 = 9.
Thus, one side is 40 cm long, and the other side is 9 cm long.
so, a = 49 - b
Using Pythagorean Theorem:
perpendicular2 + base2 = hypotenuse2
(49 - b)2 + b2 = 412 (by substitution)
2401 - 98b + b2 + b2 = 1681
2b2 - 98b + 720 = 0 (take 2 common from L.H.S)
b2 - 49b + 360 = 0
(b - 9)(b - 40) = 0
b = 9 or b = 40
In this case, either solution will do.
If b = 9, then a = 49 - b = 49 - 9 = 40.
Or if b = 40, then a = 49 - b = 49 - 40 = 9.
Thus, one side is 40 cm long, and the other side is 9 cm long.
Answered by Renu Varma | 17 Sep, 2020, 01:38: PM
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