Question

Hello i was confused in this question, will appreciate if u could help me with it!

Answer 1

The general 45 - 45 - 90 triangle is shown below:

'a' lengths are the legs of the triangle.

We can see that the length of the hypotenuse is square root of two times the length of the leg.

Using this fact, let's find the length of the hypotenuse:

`\begin{gathered} \sqrt[]{2}*10\sqrt[]{3} \\ =10\sqrt[]{2}\sqrt[]{3} \\ =10\sqrt[]{2*3} \\ =10\sqrt[]{6} \end{gathered}`

So, the length of the hypotenuse is

`10\sqrt[]{6}`