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UNO [17]
1 year ago
8

Work out the length of x

Mathematics
2 answers:
Ierofanga [76]1 year ago
6 0

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)

MakcuM [25]1 year ago
5 0
<h3>given:</h3>

3.8 mm

11.8 mm

<h3>to find:</h3>

the unknown "x"

<h3>solution:</h3>

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

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