1.

Answer»

Solution

Clearly, from each statement alone we cannot FIND the sides of the triangle, HENCE the area of triangle. Thus, by combining both statements, we get :

Let base = $4x$ m and HEIGHT = $3x$ m

Hypotenuse = $5=\sqrt{(4x)^2+(3x)^2}$

=> $16x^2+9x^2=5^2$

=> $25x^2=25$

=> $x^2=\frac{25}{25}=1$

=> $x=\sqrt{1}=1$

Thus, base = $4$ m and height = $3$ m

=> Area of triangle = $\frac{1}{2}\times4\times3=6$ $m^2$

$\THEREFORE$ Both statements together are sufficient.

=> Ans - (E)



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