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Equal Angles Subtend Equal Sides

The sides of ...

Question

The sides of a right angled triangle are $5 x, 4 x$ and $3 x$ units respectively. If the perimeter is $36$ units, what is $x ?$

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Solution

$Perimeter = sum of the sides = 5 x + 4 x + 3 x = 12 x = 36$

Therefore, $x = \frac{36}{12} = 3$

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