Find the area of a right isosceles triangle with hypotenuse 10\sqrt{2}10
2 units

A = 50 square units

Step-by-step explanation:

Right Triangles

A right triangle is identified because it has one internal angle of 90°.

The longest side is called hypotenuse and the other two sides are called legs. Being c the hypotenuse and a and b the legs, the Pythagora's theorem relates the with the equation:

If the triangle is also isosceles, then both legs have the same measure or a=b:

Since we know the hypotenuse has a measure of 10\sqrt{2}:

Operating:

Dividing by 2:

a = 10 units

The area of the triangle is:

A = 50 square units

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