Hurry!   what is the area, in square units, of an isosceles right triangle with a hypotenuse of 20 units?

Area of triangle : 100 unit².

Step-by-step explanation:

Given : Isosceles right triangle with a hypotenuse of 20 units.

To find :  What is the area.

Solution : We have given an

Isosceles right triangle with a hypotenuse =  20 units.

Isosceles right triangle : A triangle which has 2 sides equal with one angle is 90 degree.

Let two perpendicular equal sides = a , a

By the Pythagorean theorem :

(hypotenuses)² = (side1) ²+ (side2)².

Plug the values

(20)² = (a) ²+ (a)².

400 = 2a².

On dividing both sides by 2

200 = a².

Taking square root both sides

a = 10.

Area of triangle :  .

Area of triangle : .

Area of triangle : .

Area of triangle : 100 unit².

Therefore, Area of triangle : 100 unit².

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