The side of a right angled triangle containing the right angle are 4x cm and (2x-1) cm. If the area of the triangle is 30 cm^{2}. calculate the length of its sides.

Let the base of the triangle be 4*x* cm

and perpendicular of the triangle be (2*x* – 1) cm.

Given, area of triangle = 30 cm^{2}

We know that,

Area of triangle = × base × perpendicular (or height)

Now, x ≠

∴ *x* = 3 implies that base of triangle = 4*x*

= 4 × 3

= 12 cm

and perpendicular of the triangle = 2*x* – 1

= 2 × 3 – 1

= 5 cm

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