Question

Find x on this special right triangle

Answer 1

The answer is 7

Explanation:

We know than Tan45=1

Tanx=opp/adj

tan45=y/(7
`√(2)`)/2

Thus y=7
`√(2)`/2

We know by pythagoras theorem that hyp^2=side^2+side^2

`x^(2)`=(
`(7√(2) /2)^(2)`+
`(7√(2)/2)^(2)`

`x^(2)`=(49(2)/4)+(49(2)/4)

`x^(2)`=(49/2)+(49/2)

`x^(2)`=(98/2)

`x^(2)`=49

x=7