Question

If the base of a right angled traingle is 6 times the reciprocal of ita height , then determine its area

Answer 1

Correct Question:-

• If the base of a right angled triangle is 6 times the reciprocal of its height , Then determine its area.

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Given:-

• The base of a right angled triangle is 6 times the reciprocal of its height.

To Find:-

• It's Area

Formula used:-

• ${\boxed{\bf{Area\:of\:Right\:angled\: triangle=\dfrac{1}{2}\times Base \times Height}}}$

Solution:-

Let the Height of the triangle be h and the base be b.

According to question,

$\sf :\implies\:b=6\times \dfrac{1}{h}$

$\sf :\implies\:b=\dfrac{6}{h}$

Now using the formula,

$\sf :\implies\:Area\:=\dfrac{1}{2}\times b \times h$

$\sf :\implies\:Area\:=\dfrac{1}{2}\times \dfrac{6}{h} \times h$

$\sf :\implies\:Area\:=\dfrac{1}{2}\times 6$

${\boxed{\bf{:\implies\:Area\:=3\:units^2}}}$

Hence, The Area of the given Right Angled Triangle is 3 square units.

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