The numbers that represent the areas of the green, red, and yellow squares (in that order) is (a) 6, 8, 14
From the question, we understand that the blue triangle is a right-angled triangle.
This means that:
[tex]\mathbf{a^2+ b^2 =c^2}[/tex] ---- Pythagoras theorem
Testing option (a), we have:
[tex]\mathbf{a^2 = 6, b^2 = 8, c^2 = 14}[/tex]
Substitute these values in [tex]\mathbf{a^2+ b^2 =c^2}[/tex]
[tex]\mathbf{6 + 8= 14}[/tex]
[tex]\mathbf{14= 14}[/tex]
The above equation is true
So, the area of the squares are:
[tex]\mathbf{Green = a^2 =6}[/tex]
[tex]\mathbf{Red = b^2 =8}[/tex]
[tex]\mathbf{Yellow = c^2 =14}[/tex]
Hence, the true statement is (a) 6, 8, 14
Read more about areas at:
https://brainly.com/question/11133928
