Question

Analyze the diagram below and complete the instructions that follow. Find the value of x and the value of y

Answer 1

Option B.
`x=5√(2)\ units`,
`y=5\ units`

Explanation:

step 1

Find the value of y

we know that

In a 45°-90°-45° triangle the legs are equal

therefore

`y=5\ units`

step 2

Find the value of x

In the right triangle of the figure

`cos(45^o)=(5)/(x)`

Remember that

`cos(45^o)=(√(2))/(2)`

substitute

`(√(2))/(2)=(5)/(x)`

`x=(10)/(√(2))`

simplify

`x=5√(2)\ units`