Question

Using Pythagoras' theorem, calculate the length of XY. Give your answer in centimetres (cm) to 1 d.p. 15 cm Z X 7 cm Y Not drawn accurately​

Answer 1

13.3cm

Explanation:

The Pythagorean theorem is
`a^(2) +b^(2) =c^(2)`.

Plug the values into the equation.

`7^(2) +b^(2) =15^(2)`

Simplify.

`49+b^(2) =225`

Subtract 49 from both sides.

`b^(2) =176`

Take the square root of both sides.

`\sqrt{b^(2)} =\sqrt{176`

b=13.266

b=13.3cm