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Rufina [12.5K]
3 years ago
8

Find the third side of each of the following right-angled triangles whose hypotenuses and

English
1 answer:
AlladinOne [14]3 years ago
6 0

Answer:

<em>The other side is 6cm.</em>

Explanation:

<em>Hypotenuse = 10cm</em>

<em>Base</em><em> = 8cm</em>

<em>Altitude</em><em> = x cm ( not given) </em>

<em>Using Pythagoras theorem,( hypotenuse)^2 = ( base) ^2 + (altitude)^2</em>

<em>(altitude)^2 = (</em><em>hy</em><em>potenuse</em><em>)</em><em>^</em><em>2</em><em> </em><em>-</em><em> </em><em>(</em><em>base</em><em>)</em><em>^</em><em>2</em>

<em>(</em><em>x)</em><em>^</em><em>2</em><em> </em><em>=</em><em> </em><em>(</em><em>1</em><em>0</em><em>)</em><em>^</em><em>2</em><em> </em><em>-</em><em> </em><em>(</em><em>8</em><em>)</em><em>^</em><em>2</em>

<em>(</em><em>x</em><em>)^2 = 100 - 64</em><em> </em>

<em>(x) ^2 = 36</em>

<em>x</em><em> = √36</em>

<em>therefore</em><em>, x =6</em><em>c</em><em>m ( altitude)</em>

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