Question

3. Острый угол раннобедреннов трапеции равен 45°, высота - 7 дм. а сумма оснований 32 дм. Найдите длины оснований трапеции. Помогите пожалуйста надо чертёж, дано,Решение ​

Answer 1

Ответ:

На фото

Объяснение:

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Answer 2

Task: Finding the lengths of the bases of a trapezoid

To find the lengths of the bases of a trapezoid, we need to use the given information about the acute angle, height, and the sum of the bases.

Given: - The acute angle of the trapezoid is 45°. - The height of the trapezoid is 7 dm. - The sum of the bases is 32 dm.

To find the lengths of the bases, we can use the trigonometric properties of a trapezoid. Let's denote the lengths of the bases as b1 and b2.

Solution:

1. We know that the acute angle of the trapezoid is 45°. This means that the trapezoid is an isosceles trapezoid, where the non-parallel sides are congruent.

2. Since the trapezoid is isosceles, the lengths of the bases are equal. Let's assume the length of each base is b.

3. The sum of the bases is given as 32 dm. Therefore, we can write the equation: b + b = 32.

4. Simplifying the equation, we get: 2b = 32.

5. Dividing both sides of the equation by 2, we find: b = 16.

6. Since the trapezoid is isosceles, both bases have the same length. Therefore, the lengths of the bases are 16 dm each.

Answer:

The lengths of the bases of the trapezoid are both 16 dm.

Please note that the above solution assumes that the trapezoid is an isosceles trapezoid based on the given acute angle of 45°. If there are any additional constraints or information provided, please let me know so that I can provide a more accurate solution.