Question

solve it. in figure angle abc is 90 degree

Answer 1

Answer:

12

Step-by-step explanation:

Given triangle is a right angled triangle, as angle ABC = 90 degree.

then, according to Pythogorus theorem,

AB^2 + BC^2 = AC^2

or, c^2 + a^2 = b^2

or, c^2 + (c+4)^2 = (c+8)^2 [ as, a+4 = c+8 implies a = c+4 ]

or, c^2 + c^2 + 8c + 16 = c^2 + 16c + 64

or, c^2 - 8c - 48 = 0

or, c^2 - 12c + 4c - 48 = 0

or, c(c-12) + 4(c-12) = 0

or, (c-12)*(c+4) = 0

so, either c-12 = 0 implies c = 12

     or c+4 = 0 implies c = -4

side of a triangle never be negative, so c = 12.