Let the length of one side of a triangle with an area of 12 square centimeters be a (?) and the height of this side be h (?). (1) find the analytic expression of the function of H with respect to a and the independent variable a Value range; (2) Is the function of H about a an inverse scale function? If so, please state its scale coefficient; (3) If the area of the triangle is changed to a fixed value s (square centimeter), and the rest is unchanged, find the analytic function of H with respect to a Solution

(1) H = 24 / A, a > 0
(2) It's an inverse scale function with a coefficient of 24
(3) H = s / A, a is greater than 0

If the area of a triangle is 30 square centimeters and one side is a centimeter long, how many centimeters is the height on this side?

First of all, the grade of a triangle is divided by the bottom height by two. Now that we know the area of 30 square centimeters and the bottom edge of a centimeter, we can use the inverse operation to get that the height of the triangle with the side length of a centimeter is the area multiplied by two and then divided by A

Given that the triangle area is 25 square centimeters, write the functional relationship between the base y and the corresponding height X

½×x×y=25
y=50/x

It is known that the area of a triangle is 3 square centimeters, the length of one side is a centimeter, and the height of the other side is h centimeter. (1) write out the functional relationship between a and H（

From the triangle area formula, we can get 1 / 2 * a * H = 3. Then we can get H = 6 / A

In an isosceles triangle, the ratio of the two sides is 3:5, and the length of the third side is 15 cm. How about the circumference of the isosceles triangle? Kneel down! Hurry~~

When the third side is the waist, the length of the two waists is 15x2 = 30
Bottom: 15 / 3x5 = 25
Perimeter: 25 + 30 = 55
When the third is the bottom, the bottom length is 15
Waist length: 15 / 5x3 = 6
2 waist length: 6x2 = 12
Perimeter: 12 + 15 = 27

It is known that the circumference of isosceles triangle is 14 cm, and the ratio of base to waist is 3:2
Binary linear equation!

Is it a system of linear equations of two variables?
Let the base be x and the waist be y. we can list a system of quadratic equations x + 2Y = 14 x: y = 3:2
The solution is: x = 6, y = 4

The circumference of an isosceles triangle is 14 cm, and the length of one side is 4 cm

Root 7 cm or root 21 cm

It is known that the circumference of an isosceles triangle is 14, and the difference between the waist length and the base length is 1

The waist length is 5 and the waist length is 5
If the base is a, the waist length is a + 1
2（a+1）+a=14
a=4
a+1=4+1=5

The circumference of an isosceles triangle is 14 decimeters, the length of its bottom is 4 decimeters. How long is its waist?

It's an isosceles triangle
The two waists are equal,
And it is equal to (14-4) △ 2 = 5DM

The two sides of an isosceles triangle are 4cm and 6cm, and the circumference of the isosceles triangle is calculated

When the waist length is 4 m and the bottom length is 6 cm, the circumference of a triangle is 4 + 4 + 6 = 14 cm; when the waist length is 6 m and the bottom length is 4 cm, the circumference of a triangle is 4 + 6 + 6 = 16 cm; when the isosceles triangle is 14 cm or 16 cm