Question

In a 45-45-90 triangle, the length if the hypotenuse is 11. Find the length of one of the legs

Answer 1

`(11√(2))/(2)`

Explanation:

In a 45-45-90 triangle, the length if the hypotenuse is 11

WE use the common ratio of 45-45-90 degree triangle

common ration is x: x: x sqrt(2)

x sqrt(2) is the length of the hypotenuse

`x√(2) = 11`

Divide by sqrt(2) on both sides

`x= (11)/(√(2))`

To rationalize the denominator, multiply by sqrt(2) at the top and bottom

sqrt(2) * sqrt(2) = 2

`x= (11√(2))/(2)`

Answer 2

the answer is B, picture shows how to solve it although the answer is written slightly different