question_answer

The area of a triangle with each side equals 5.1 metres and the third side 4.6 metres is

A)  10.47sq. m     

B)    2.86 sq. m

C)  10.45sq. m      

D)    None of these

Correct Answer: A

Solution :

    In right angled \[\Delta \,ADC,\] \[AD=\sqrt{{{(5.1)}^{2}}-{{(2.3)}^{2}}}\,=4.55\,m\] \[\therefore \] Area of \[\Delta ABC=\frac{1}{3}\times 4.6\times 4.55\] \[=2.3\,\times 4.55\,=10.47\,sq.\,m.\]