Question

Find the length of the missing side in the figure below. a = _______ cm.
a right triangle with short side labelled a, long side labeled 4.7 cm and hypotenuse labelled 7.1 cm. PLEEZE! IM DESPERATE!

Answer 1

Answer:

$\frac{2 \sqrt{177} }{5}$

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.

${7.1}^{2} = {a}^{2} + {4.7}^{2}$

we need to rearrange this to find a²

${a}^{2} = {7.1}^{2} - {4.7}^{2}$

$a = \sqrt{ \frac{708}{25} }$

This can either be written as a fraction or decimal.

$a = \frac{2 \sqrt{177} }{5}$

OR

$a = 5.32$

correct to 2 decimal places