Given: Equal sides (i.e., base and perpendicular) = 10 cm

We know that,

Area of a triangle = 1/2 × Base × Height

Area of a triangle = 1/2 × 10 cm × 10 cm

Area of a triangle = 50 cm²

Now,

Base² + Perpendicular² = Hypotenuse²

⇒ 10² + 10² = Hypotenuse²

⇒ Hypotenuse² = 100 + 100

⇒ Hypotenuse² = 200 cm²

⇒ Hypotenuse= 10√2 cm

⇒ Hypotenuse= 14.1 cm

Now,

Perimeter of triangle = 10 + 10 + 14.1 cm

= 24.1 cm