Question

The base of an isosceles right triangle is 20cm, its area is 400cm2 200cm2 600cm2 200√3xm2 Please tell fast

Answer 1

Answer:

Solution:

Given that, it is a right angled isosceles triangle. So it means that the sides other than hypotenuse are equal in measure.

So let the side be denoted as 'x'

Now Area of triangle is given as 200 cm²

So Area of triangle = 1/2 * Base * Height

=> Area = 1/2 * x * x

=> Area = 1/2 * x² = x²/2

=> x²/2 = 200 cm²

=> x² = 200 × 2 = 400 cm²

=> x = √400 = 20 cm

So Applying Pythagoras Theorem we get,

=> x² + x² = Hypotenuse²

=> 20² + 20² = Hypotenuse²

=> 400 + 400 = Hypotenuse²

=> 800 = Hypotenuse²

=> Hypotenuse = √800 = 20√2 cm

Hence the side of the hypotenuse is 20√2 cm

Answer 2

Answer:

You need to specify the height of the triangle because area of triangle is 1/2 (b*h).