Analysis:

Because the height on the hypotenuse of an isosceles right triangle is the center line, and because it is a right angle, the height on the hypotenuse = half of the hypotenuse = 5cm, so according to the triangle area formula:

S= 10×5×( 1/2)=25 (square centimeter).

Extended data

1, the properties of right triangle

(1) The angle of a right triangle is equal to 90 degrees.

(2) The sum of squares of two right angles of a right triangle is equal to the square of the hypotenuse.

(3) In a right triangle, the two acute angles are complementary.

2. The isosceles right triangle is a special isosceles triangle. It has the following characteristics:

(1) The two waists are equal.

(2) The two base angles are equal to 45, and the right angle is 90.

(3) The unilateral ratio is based on waist: waist: = √ 2: 1: 1.