SSC CPO 2020 PYQ — Question 107

The correct answer is Option 4 i.e. 120.

Let x, y, and z be the hypotenuse, base, and perpendicular of the triangle respectively.

Then, Perimeter of the triangle = x + y + z = 60 cm

⇒ 26 + y + z = 60 cm

⇒ y + z = 34 cm

Now by Pythagoras Theorem,

⇒ x² = y² + z²

⇒ x² = (y + z)² - 2 × z × y

⇒ 26² = 34² - 2 × z × y

⇒ 2 × z × y = 34² - 26² 

⇒ 2 × z × y = (34 + 26)(34 - 26)

⇒ 2 × z × y = 60 × 8

⇒ z × y = 240 

Area of triangle = 1/2 × z × y

⇒ 1/2 × 240 = 120 cm²