Shotolovessoba24
Answered

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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!

Sagot :

lsprincesspark

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

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