Question

I think one is 10 I am just not sure though

Answer 1

Right Triangles

A right triangle is identified because it has an interior angle of 90° (right angle). The other two angles must be acute and add up to 90°.

In the special case that both acute angles have a measure of 45°, then we have an isosceles triangle, that is, both legs have the same length.

We can see one of the legs measures

`L=5\sqrt[]{2}`

Being this an isosceles triangle, the other leg (the base of the triangle) also measures L, thus you should drag

`5\sqrt[]{2}`

To the box at the bottom.

The other unknown length is the hypotenuse H. According to the Pythagorean's Theorem:

`H^2=L^2+L^2=2L^2`

Substituting:

`\begin{gathered} H^2=2(5\sqrt[]{2}^{})^2 \\ \text{Operating:} \\ H^2=2\cdot50=10 \\ \text{Thus:} \\ H=\sqrt[]{100} \\ H=10 \end{gathered}`

You should drag the length 10 to the hypotenuse.