question

Asked by arindeep.singh | 17th 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.

Answered by Renu Varma | 17th Sep, 2020, 01:38: PM