If the length of three sides of a right triangle is a positive integer and the perimeter and area are equal, the triangle is called a "perfect right triangle", and the length of three sides of a "perfect right triangle" is calculated

If the length of three sides of a right triangle is a positive integer and the perimeter and area are equal, the triangle is called a "perfect right triangle", and the length of three sides of a "perfect right triangle" is calculated

Let the length of three sides be a, B, C, where C is a hypotenuse, then A2 + B2 = C2 (1) a + B + C = AB2 (3) (2) is substituted into (1) to get A2 + B2 = (ab2-a-b) 2, that is, ab4 (ab-4a-4b + 8) = 0, because ab ≠ 0, so ab-4a-4b + 8 = 0, so a = 4 + 8b-4 (a, B are positive integers), so B-4 = 1, 2, 4, 8, so B = 5, 6, 8

The area of a triangle is 20 decimeters square, the height on the bottom is 5 decimeters, how many decimeters is the bottom

The area of a triangle is 30 square decimeters, the bottom is 6 decimeters, how high is the bottom?

6x/2=30
x=10

If the base of a triangle is increased by 3 cm, the area of the triangle will be increased by 15 square cm. The height of this base of the triangle is () cm?
emergency

Let the bottom edge be y and the height be h, so 1 / 2 (y + 3) H-1 / 2 (YH) = 15, H = 10