Mensuration Practice Test 4

The given ratio for right-angled triangle is 3x, 4x, 5x units.
Area of the triangle = $\frac{1}{2}\times 3\mathit{x}\times 4\mathit{x}$ = 72
$\frac{12{\mathit{x}}^2}{2}$ = 72
$6{\mathit{x}}^2$ = 72
${\mathit{x}}^2$ = $\frac{72}{6}$ = 12
x = $2\sqrt{3}$ units
Length of the smallest side = 3x
= 3 × 2 $\sqrt{3}$
= $6\sqrt{3}$ unit