Answer:
[tex]m=\sqrt{2}[/tex] inches
Step-by-step explanation:
From the diagram, it is given that the triangle is a right angle isosceles triangle (angles are 45°, 45° and 90°). This means that the two shorter sides of the triangle are equal in length and that the side [tex]m[/tex] can be found by using the Pythagorean theorem [tex]a^{2}+b^{2}=c^{2}[/tex].
[tex]m^{2}+m^{2}=2^{2}[/tex] (The two shorter sides of the triangle are equivalent)
[tex]2m^{2}=4[/tex]
[tex]m^{2}=2[/tex]
[tex]m=\sqrt{2}[/tex] inches
I hope this helps :)
