The length of the hypotenuse of an isosceles right triangle
is30 meters. find the area of the triangle. round to thenearest
tenth, if necessary.

Step-by-step explanation:

An isosceles right triangle is a right triangle having two legs (other than hypotenuse ) of same length  .

Given : The length of the hypotenuse of an isosceles right triangle  is 30 meters.

Let x be the side length of the other two legs, then by using the Pythagoras theorem for right triangle , we have

Thus, the other two legs have side length of 21.21 m each.

Now, the area of a right triangle is given by :-

Hence, the area of the given isosceles right triangle=