Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
8th August, 2024

Let a be the radius of the inscribed circle.


b = a+2a

b = 3a units.


c² = 2(3a)²

c = 3√(2)a units.


d = 180-45

d = 135°


Calculating a.


5² = (3√(2)a)²+a²-2*3√(2)a²cos135

25 = 19a²+6a²

25 = 25a²

a = 1 unit.

Again, a is the radius of the inscribed circle.


Calculating length x.


x² = 2a²

x² = 2

x = √(2) units.

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