Question

How do I know where which choices below go into the correct blanks for number 3 and 4?

Answer 1

Given data:

The lenght of one leg is a=8√5.

As, two angle are 45 degrees, 45 degrees, and third one is 90 degrees,

So, it is an isoceles triangle.

The length of other leg is also b=a=8√5.

The expression for hypotenuse is,

`h=\sqrt[]{a^2+b^2}`

Substitute the given values.

`\begin{gathered} h=\sqrt[\square]{(8\surd5)^2+(8\surd5)^2} \\ =\sqrt[]{320+320} \\ =\sqrt[]{640} \\ =8\sqrt[]{10} \end{gathered}`

Thus, the other leg is 8√5, and hypotenuse is 8√10.