The perimeter of an isosceles right-angled triangle having an area of 200 cm2 is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 68.3 cm.
Let equal sides = a cm
Area = (1/2) × a × a = 200
⇒ a2 = 400
⇒ a = 20 cm
Hypotenuse = a√2 = 20√2 = 20 × 1.414 = 28.28 cm
Perimeter = 20 + 20 + 28.28 = 68.28 = 68.3 cm (approx)