Given that
A right-angle isosceles triangle of area 5000m2
We need to find the perimeter of the given isosceles triangle
Let us assume that the length of the equal side of the triangle be x
We know that area of a traingle is given by
Area = 1/2 x base x height
Substituting the given area values in the above equation, we get
5000 = 1/2 (x) (x)
1/2 x² = 5000
x² = 5000 x 2
x² = 10,000
x = √10000
x = 100
Since it is the right-angled triangle
we will find the hypotenuse using the Pythagoras theorem
hypotenuse = side(√2)
hypotenuse = 100√2
We know that √2= 1.41
hypotenuse= 100(1.41)= 141cm
Hence the two sides are 100cm and hypotenuse is 141cm
Perimeter of a triangle= sum of all the three sides
Perimeter = 100 + 100 + 141
Perimeter = 341 m
The perimeter of the given right-angled isosceles triangle is 341 m
