Question

Work out the length of x

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

Answer 1

Answer:

11.2 mm

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)

Answer 2

given:

3.8 mm

11.8 mm

to find:

the unknown "x"

solution:

we'll have to use pythagoras theorem.

unknown value is x

${c}^{2} = {b}^{2} - {a}^{2}$

${x}^{2} = {11.8}^{2} - {3.8}^{2}$

${x}^{2} = 124.8$

${x}^{2} = \sqrt{124.8}$

$x = 11.17139204$

$x = 11.2 \: mm$