Question

Find the missing side length. Leave your answers as radicals in simplest form.

Explain the steps

Answer 1

m = 5

n = 5

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:

`(5√(2) )/(√(2) ) = 5`

Again, as it is a isosceles triangle, the two sides will share the same measurement.

m = 5

n = 5

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