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taylabrown2013
22.08.2020 •
Mathematics
The hypotenuse of a right triangle is 15cm long. One of the triangle’s legs is two times the length of the other leg. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth. 1
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Ответ:
Step-by-step explanation:
Given that,
The hypotenuse of a right triangle is 15 cm
Let x is the length of the other leg. So, the length of the first leg is 2x.
Using Pythagoras theorem for the right angle triangle such that,
hypotenuse² = base²+height²
Let base is x and height is 2x
So,
Hence,
Base =![3\sqrt{5} \ cm](/tpl/images/0727/5099/077ba.png)
Height =![2\times 3\sqrt{5} \ cm=6\sqrt5\ cm](/tpl/images/0727/5099/0ea0c.png)
Hyoptenuse = 15 cm (given)
Ответ: