Question

Танки угольник ABCD Найдите его высоты если AB равно 8 см BC равно 9 см а ц равна 13 см

Answer 1

9*8*13=930такой ответ

Answer 2

Calculation of the Heights of Tank ABCD

To find the heights of tank ABCD, we need to use the given information that AB is equal to 8 cm, BC is equal to 9 cm, and AC is equal to 13 cm.

Let's label the heights as h1, h2, h3, and h4, corresponding to the sides AB, BC, CD, and DA, respectively.

Using the formula for the area of a trapezoid, which is given by (h1 + h3) * (AB + CD) / 2, we can calculate the value of h1 + h3.

Similarly, using the formula for the area of a trapezoid, which is given by (h2 + h4) * (BC + DA) / 2, we can calculate the value of h2 + h4.

Finally, we can solve the system of equations to find the values of h1, h2, h3, and h4.

Let's calculate the heights step by step:

1. Calculate the value of h1 + h3: - The formula for the area of a trapezoid is (h1 + h3) * (AB + CD) / 2. - Substituting the given values, we have (h1 + h3) * (8 + 13) / 2 = (h1 + h3) * 21 / 2. - We can rewrite this equation as (h1 + h3) * 21 = 2 * (h1 + h3) * 10.5. - Simplifying further, we have 21 * (h1 + h3) = 21 * (h1 + h3). - Therefore, h1 + h3 is equal to 21.

2. Calculate the value of h2 + h4: - The formula for the area of a trapezoid is (h2 + h4) * (BC + DA) / 2. - Substituting the given values, we have (h2 + h4) * (9 + 13) / 2 = (h2 + h4) * 22 / 2. - We can rewrite this equation as (h2 + h4) * 22 = 2 * (h2 + h4) * 11. - Simplifying further, we have 22 * (h2 + h4) = 22 * (h2 + h4). - Therefore, h2 + h4 is equal to 22.

3. Solve the system of equations: - We have the equations h1 + h3 = 21 and h2 + h4 = 22. - Since we have two equations and four unknowns, we cannot find the exact values of h1, h2, h3, and h4. - However, we can find the possible values of h1, h2, h3, and h4 that satisfy the given equations. - For example, we can set h1 = 1 and h3 = 20, which gives us h1 + h3 = 1 + 20 = 21. - Similarly, we can set h2 = 2 and h4 = 20, which gives us h2 + h4 = 2 + 20 = 22. - These values satisfy the given equations, but there may be other possible values as well.

Therefore, the possible values of the heights of tank ABCD are h1 = 1 cm, h2 = 2 cm, h3 = 20 cm, and h4 = 20 cm.

Please note that these values are just one possible solution, and there may be other valid solutions as well.

Let me know if you need any further assistance!