Question

ПОРІВНЯЙТЕ катети AC і BC прямокутного трикутника ABC, якщо кут B = 43 градуси

Answer 1

Кут А=90-43=47

В трикутнику проти більшого кута лежить більша сторона

ВС більше АС

Answer 2

Comparing the Length of the Hypotenuse AC and BC in Right-Angled Triangle ABC

To compare the lengths of the catheti AC and BC in right-angled triangle ABC, we can use trigonometric functions and the given angle B of 43 degrees.

Given: - Angle B = 43 degrees

We can use the trigonometric functions to compare the lengths of AC and BC. In a right-angled triangle, the sine, cosine, and tangent functions can be used to relate the angles and sides of the triangle.

Using the given angle B, we can use the following trigonometric relationships: - Sine Function: sin(θ) = opposite/hypotenuse - Cosine Function: cos(θ) = adjacent/hypotenuse - Tangent Function: tan(θ) = opposite/adjacent

Let's calculate the lengths of AC and BC using the given angle B of 43 degrees.

First, we need to define the sides of the right-angled triangle ABC: - AC: the side opposite the right angle - BC: the side adjacent to angle B

Using the cosine function, we can express the relationship between the angle B and the sides AC and BC: - cos(B) = BC/AC

Solving for BC, we get: - BC = AC * cos(B)

Substituting the given values: - BC = AC * cos(43°)

Now, we can calculate the ratio of the lengths of AC and BC using the cosine of 43 degrees.

Let's calculate the value of BC in terms of AC using the cosine of 43 degrees.

BC = AC * cos(43°)

This calculation will provide the comparison between the lengths of AC and BC in the right-angled triangle ABC.