Question

Find the value of x for the following

Answer 1

x = 3 units

Explanation:

This is an isosceles right-angled triangle because one of the three angles is 90° and two of the three sides are equal to eachother:

Slanted height = Hypotenuse

= hyp

=
`3√(2)` units

Opposite = opp

= x units

Adjacent = adj

= x units

Pythagorean Theorem will be applied:

`hyp^(2)` =
`opp^(2) + adj^(2)`

`(3√(2))^(2)` =
`x^(2) + x^(2)`

`[9(2)]` =
`2x^(2)`

`18` =
`2x^(2)`

`x^(2)` =
`(18)/(2)`

`x^(2) = 9`

Taking the square root on both sides to get rid of the square:

`x = √(9)`

∴ x = 3 units