Question

Work out the length of x

Answer 1

x = 3 cm

Explanation:

This is a right-angled triangle where:

hyp = Hypotenuse = 5 cm

adj = Adjacent = 4 cm

opp = Opposite =
`x` cm

To determine the Length of any of the three sides of a right-angled triangle mentioned above, applying the Pythagorean Theorem:

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

`5^(2) = x^(2) + 4^(2)`

`25 = x^(2) + 16`

`x^(2) = 25 - 16`

`x^(2) = 9`

`\sqrt{x^(2)} = √(9)`

`x = 3` cm