Question

the right triangle has a leg with a length of 21 units and the hypotenuse with the leg of 21 square root to 2 units eunice states that because the hypotenuse is twice the length of the given leg the right triangle is a 30,60-90 triangle select the statements that are true

Answer 1

It is important to know that the given hypotenuse is not double than the given leg because the square root of 2 is not equal to 2. This indicates that the right triangle is special 45-45-90.

As you can see in the image above, this special triangle has equal legs. Then, we add the sides to find the perimeter.

$P=21+21+21\sqrt[]{2}=42+21\sqrt[]{2}$

Hence, the answers are 2 and 5.