Question

If the base of the right angle triangle is 6 times the reciprocal of its height then find the find

Answer 1

SOLUTION

GIVEN

The base of the right angle triangle is 6 times the reciprocal of its height

TO DETERMINE

The area of the right angle triangle

EVALUATION

Let base of the right angle triangle = b unit and height of the right angle triangle = h unit

Now it is given that the base of the right angle triangle is 6 times the reciprocal of its height

So by the given condition

$\displaystyle \sf{b = 6 \times \frac{1}{h} }$

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

Hence the required area of the right angle triangle

$\displaystyle \sf{ = \frac{1}{2} \times Base \times Height }$

$\displaystyle \sf{ = \frac{1}{2} \times b \times h \: \: \: sq.unit }$

$\displaystyle \sf{ = \frac{1}{2} \times 6 \: \: \: sq.unit }$

$\displaystyle \sf{ = 3 \: \: \: sq.unit }$

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