Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
8th November, 2024

Calculating x, the side length of the ascribed square.


tana = 14/7

a = atan(2)°


b = 90+a

b = (90+atan(2))°


c² = 14²+7²

c² = 196+49

c = √(245) units.

c = 7√(5) units.


d² = √(245)²+9²-2*9*7√(5)cos(90+atan(2))

d = 24.0416305603 units.

d is the diagonal of the square.


Therefore, x is;


d² = 2x²

24.0416305603² = 2x²

x² = 289

x = √(289)

x = 17 units.

Again, x is the side length of the ascribed square.

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