SOLUTION: What is the area of an isosceles right triangle with perimeter 8+4√2?

Question 1151970: What is the area of an isosceles right triangle with perimeter 8+4√2?
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
What is the area of an isosceles right triangle with perimeter ?
Isosceles Right Triangle:
A right triangle with the two legs (and their corresponding angles) equal.
the perimeter of an isosceles triangle, the expression is used, where represents the length of the two congruent sides and represents the length of the base

use the Pythagorean Theorem, which states that , to express in terms of

then substitute in

then the area of an isosceles right triangle is:

Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!
What is the area of an isosceles right triangle with perimeter 8 + 4√2?

Let each congruent side be s
Then with this being an isosceles right triangle, hypotenuse =
We then get:

Equating the 1st terms (2s = 8), or the 2nd terms (, s, or one of the equal sides =
With each congruent side being 4,
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