Respuesta :

Just use pythagorean theorem (a² + b² = c²)

We have a and c, so we need to find b:

a = 9 and c = 15 so

9² + b² = 15²

b² = 15²-9²

b² = 144

b = 12

So the missing side length of the triangle is 12 mm
Since it's a right angle, you can do the Pythagorean theorem backwards. Let's call the 9mm side A, the missing side B, and the longest side C.

[tex] a^{2} + b^{2} = c^{2} [/tex]
[tex] 9^{2} + b^{2} = 15^{2} [/tex]
[tex] 81 + b^{2} = 225 [/tex]
[tex] b^{2} = 225 - 81[/tex]
[tex] b^{2} = 144[/tex]
[tex] b = 12[/tex]

The answer is 12mm