Question

В равнобедренной трапеции известна высота меньше основания и угол при основании см.рис найдите большее основание

Answer 1

Скинь фото если есть

Answer 2

Finding the Larger Base of an Isosceles Trapezoid

To find the larger base of an isosceles trapezoid when the height and the angle at the base are known, we can use trigonometric functions and the given information to calculate the larger base.

Given: - Height of the trapezoid (h) = 6 - Smaller base of the trapezoid = 5 - Angle at the base of the trapezoid = 45 degrees

We can use the trigonometric function tangent to find the larger base (b) using the formula: tan(angle) = (1/2) * (larger base - smaller base) / height

Using the given angle of 45 degrees and the height of 6, we can calculate the larger base as follows:

tan(45) = (1/2) * (b - 5) / 6

Solving for b: b - 5 = 6 * tan(45) * 2 b = 5 + 12 * tan(45)

Now, let's calculate the value of the larger base using the given information.

b = 5 + 12 * tan(45) b ≈ 5 + 12 * 1 b ≈ 5 + 12 b ≈ 17

Therefore, the larger base of the isosceles trapezoid is approximately 17 units.