Answer:
[tex] \frac{2 \sqrt{177} }{5} [/tex]
or
5.32cm correct to 2 decimal places
Step-by-step explanation:
This is a right angled triangle from what I know so we have to apply pythagoras theorem.
[tex] {7.1}^{2} = {a}^{2} + {4.7}^{2} [/tex]
we need to rearrange this to find a²
[tex] {a}^{2} = {7.1}^{2} - {4.7}^{2} [/tex]
[tex]a = \sqrt{ \frac{708}{25} } [/tex]
This can either be written as a fraction or decimal.
[tex]a = \frac{2 \sqrt{177} }{5} [/tex]
OR
[tex]a = 5.32[/tex]
correct to 2 decimal places
