Question

If the area of an isosceles right angle triangle is 8 cm^2, then what will be its perimeter

Answer 1

Since it's an isoceles triangle, its base and height would be same
Hypotenuse would not be same because it's the longest side.


So let's say base = height = h

=> area = 1/2 × base × height = 8

=> area = 1/2 × h × h = 8

=> h² = 8 × 2

=> h² = 16

=> h = √16

=> h = 4cm

Now h = base = height = 4cm




Now we know that hypotenuse² = base² + height²
=> hypotenuse = √(4² + 4²)

=> hypotenuse = √(16 + 16)

=> hypotenuse = √32

=> hypotenuse = 4√2



Perimeter = sum of sides

=> perimeter.= 4 + 4 + 4√2

=> perimeter = 8 + 4√2



Hope it helps dear friend ☺️✌️✌️