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

`(2 √(177) )/(5)`

or

5.32cm correct to 2 decimal places

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{ (708)/(25) }`

This can either be written as a fraction or decimal.

`a = (2 √(177) )/(5)`

OR

`a = 5.32`

correct to 2 decimal places