Question

Which of the following could be the ratio of the length of the longer leg of

Answer 1

Answer:

$\sqrt{3}$ :2

Explanation:

Given : 30-60-90 triangle.

To find : Which of the following could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse.

Solution : We have given that  30-60-90 triangle.

By the  30-60-90 triangle rule : The hypotenuse is equal to twice the length of the shorter leg,

Let the shortest side is x  then  hypotenuse is 2x and longer side is x√3.

Then the ratio of the length of the longer leg to the length of its hypotenuse.

Longer side :hypotenuse.

   x√3:   2x

     √3 : 2.