Chapter 8.3, Problem 7QR

To determine

To find : the area of plane region.

Answer to Problem 7QR

The area of plane region is $\frac{x^2}{4}$ .

Explanation of Solution

Given information : The area of an isosceles right triangle with hypotenuse $x$ .

Calculation :

An isosceles right triangle with hypotenuse $x$ has equal base and height of $\raisebox{1ex}{$x$}\!\left/ \!\raisebox{-1ex}{$\sqrt{2}$}\right.$ which can be found using Pythagoras theorem.

Hence, its area is $\frac{x^2}{4}$ .