A right triangle has a hypotenuse $c = 12.6$ $c=12.6$ and a leg $b = 8.5$ $b=8.5$ . What is the approximate length of leg $a$ $a$ ?

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Answer 1 · 2017-04-05T20:02:01

$a = 9.30$ $a=9.30$ units

$c^{2} = b^{2} + a^{2}$ $c^2=b^2+a^2$

Rearrange,

$a = \sqrt{c^{2} - b^{2}}$ $a=sqrt(c^2-b^2)$

Sub in and solve,

$a = \sqrt{{(12.6)}^{2} - {(8.5)}^{2}}$ $a=sqrt((12.6)^2-(8.5)^2)$

$a = 9.30$ $a=9.30$ units

A right triangle has a hypotenuse c=12.6c=12.6 and a leg b=8.5b=8.5. What is the approximate length of leg aa?