Question

What is the value of x?

Answer 1

Answer: 7√2 or 9.9

Explanation:

There are 2 ways to solve this. Trig or rules of a 45-45-90 right triangle

Rules for a 45-45-90:

Ratio for the sides

legs = x

hypotenuse = x√2

hypotenuse = 14 but also =x√2 because of ratio.

14=x√2 >set equal and solve for x

x=14/√2 > can't have a square root on bottom

`x=(14)/(√(2) ) (√(2) )/(√(2) )\\`

`x=(14√(2) )/(2)`

`x={7√(2) }`

Trig method

Use cos ∅= opp/adj

cos 45 = x/14

14 cos 45 = x

x=9.9