Answer:
m = 5
n = 5
Step-by-step explanation:
Note that the ∑ of the interior angles of a triangle = 180°.
A square for one of the angles constitute as 90°.
This means that this is a isosceles triangle.
Note that for isosceles triangles, the sides will follow the rule of 1 , 1 , √2, in which √2 is the hypotenuse.
The hypotenuse is the side opposite of the greatest angle measurement. It is given that the hypotenuse for the given triangle is 5√2. Divide √2 from the given measurement to get the measurements for the legs:
[tex]\frac{5\sqrt{2} }{\sqrt{2} } = 5[/tex]
Again, as it is a isosceles triangle, the two sides will share the same measurement.
m = 5
n = 5
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