Question

Work out the length of x

Give your answer rounded to 3 significant figures.
(not drawn accurately)

Answer 1

given:

3.8 mm

11.8 mm

to find:

the unknown "x"

solution:

we'll have to use pythagoras theorem.

unknown value is x

`{c}^(2) = {b}^(2) - {a}^(2)`

`{x}^(2) = {11.8}^(2) - {3.8}^(2)`

`{x}^(2) = 124.8`

`{x}^(2) = √(124.8)`

`x = 11.17139204`

`x = 11.2 \: mm`

Answer 2

11.2 mm

Step-by-step explanation:

Given a right angle triangle, In order to find the third side: Use Pythagoras Theorem: a² + b² = c²

Insert Values:

x² + 3.8² = 11.8²

x² + 14.44 = 139.24

x² = 139.24 - 14.44 (subtract)

x² = 124.8

x = √124.8 (square root)

x = 11.1714 ≈ 11.2 (rounded to 3 significant figures)