Question

Abcd прямоугольник. угол bad 30 градусов, ab 3 см. найти db

Answer 1

Ab=cd,при секущей bd признак прямоугольника
bd-диагональ
=> ∆bad -прямоугольный
. если угол А =30° то bd=1/2 AB => 1.5 см db

Answer 2

Problem Statement

We are given a rectangle ABCD, where angle BAD is 30 degrees and side AB is 3 cm. We need to find the length of side DB.

Solution

To find the length of side DB, we can use the properties of a rectangle and trigonometry.

Let's analyze the given information and apply the relevant formulas:

1. We are given that angle BAD is 30 degrees and side AB is 3 cm. 2. We need to find the length of side DB.

Using the properties of a rectangle, we know that opposite sides of a rectangle are equal in length. Therefore, side AD is also 3 cm.

Now, let's apply trigonometry to find the length of side DB.

From the given information, we can see that triangle ABD is a right triangle, with angle BAD as 30 degrees. We can use trigonometric functions to find the length of side DB.

Using the sine function, we have:

sin(BAD) = opposite/hypotenuse = DB/AB

Substituting the known values, we get:

sin(30) = DB/3

To find the value of sin(30), we can refer to a trigonometric table or use a calculator. The value of sin(30) is approximately 0.5.

Substituting this value into the equation, we have:

0.5 = DB/3

Cross-multiplying, we get:

DB = 0.5 * 3 = 1.5 cm

Therefore, the length of side DB is 1.5 cm.

Answer

The length of side DB is 1.5 cm.