Question

If the base of a right-angled triangle is 12
times the reciprocal of its height, then
determine its area.
Ops: A.
4 sq. units
B
B.
6 sq. units
C.
5 sq. units
D.
3 sq. units​

Answer 1

$\textbf{Given:}$

$\textsf{Base of a right angled triangle is 12 times the}$

$\textsf{reciprocal of its height}$

$\textbf{To find:}$

$\textsf{Area of the triangle}$

$\textbf{Solution:}$

$\textsf{Let the hieght of the triangle be 'x'}$

$\mathsf{Then,}$

$\mathsf{Base=12{\times}\dfrac{1}{x}}$

$\mathsf{Area\;of\;the\;triangle}$

$\mathsf{=\dfrac{1}{2}{\times}Base{\times}Height}$

$\mathsf{=\dfrac{1}{2}{\times}\dfrac{12}{x}{\times}x}$

$\mathsf{=\dfrac{1}{2}{\times}12}$

$\mathsf{=6\;square\;units}$

$\textbf{Answer:}$

$\mathsf{Correct\;option\;is\;(B)}$

$\textbf{Find more:}$

Find the area of the triangle whose vertices are (-2,1),(3,1),(2,-3)​

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