Question

find the length of hypotenuse of an isosceles right angled triangle, having an area of 200 cm². (take ✓2=1.414)​

Answer 1

Step-by-step explanation:

In an Isosceles right angled triangle the base and height are the same.

therefore area

$\frac{1}{2} \times base \times height \ \\ = \frac{1}{2} \times {side}^{2}$

so, 200=1/2*side^2

side^2=400

side = 20

Pythagoras theorem:-

20^2+20^2=h^2

800=h^2

h=20√2

=20*1.414

=28.18