Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
14th April, 2024

a²sin60 = 8

√(3)a² = 16

a = 4/(√√(3)) units.

a = 3.0393427426 units.

a is the side length of the big regular triangle.


b²sin60 = 18

√(3)b² = 36

b = 6/(√√(3)) units.

b = 4.5590141139 units.

b is the side length of the biggest regular triangle.


c² = 3.0393427426²+4.5590141139²-2*3.0393427426*4.5590141139cos60

c = 4.020672523 units.

c is the side length of the bigger regular triangle.


Area red is;


½*4.020672523²sin60

= 7 square units.

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