"Solution to Right Triangle" PPT courseware

Description

"Solution to Right Triangle" PPT courseware

communication and discovery

In Rt△ABC, ∠C = 90°, ∠A, ∠B, and the opposite sides of ∠C are a, b, and c respectively. In addition to the right angle C, can you express the relationship between the five elements using an equation containing these letters?

(1) The relationship between angles: ∠A＋∠B = 90 °;

(2) The relationship between the sides: a2+b2=c2;

(3) The relationship between angles and sides: sinA=a/c, cosA=b/c, tanA=a/b

Using these relationships, if you know which elements of a right triangle can you find the other elements?

two corners

two sides

corner of one side

Two elements (at least one is an edge)

The process of finding unknown elements from known elements in a right triangle is called solving a right triangle.

Example 1 In Rt△ABC, it is known that ∠C=90°, a=17.5, c=62.5. Solve this right triangle

Analysis: This is a problem of solving a right triangle given both sides of the right triangle.

You need to be able to choose the appropriate trigonometric ratio.

Example 2 In Rt△ABC, it is known that ∠C=90°, c=128, ∠B=52°

Solve this right triangle (side lengths to the nearest 0.01)

1. In Rt△ABC, it is known that ∠C = 90°, a=12, b =24.

Solve this right triangle

2. In Rt△ABC, ∠C = 90 °.

(l) Given that c = 15, ∠ B = 60°, find a;

(2) It is known that ∠A=35°, a=24, find b and c.

Class summary

1. The relationship between the sides and angles of a right triangle:

(1) The relationship between angles: ∠A＋∠B = 90 °;

(2) The relationship between the sides: a2+b2=c2;

(3) The relationship between angles and sides: sinA=a/c, cosA=b/c, tanA=a/b

2. If you know how many elements of a right triangle can you find the other elements?

How many situations are there?

Two elements (at least one is an edge) Two edges or an edge and a corner

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"Application of Solving Right Triangles" PPT Courseware 2:

"Applications of Solving Right Triangles" PPT Courseware 2 1. Among the angles formed by the line of sight and the horizontal line, the line of sight on the ______ side of the horizontal line is called the elevation angle, and the line of sight on the ______ side of the horizontal line is called the depression angle. 2. As shown in the figure, the ratio hl of the vertical height h of the slope to ___________ is called...

"Solving Right Triangles" PPT Courseware 2:

"Solving Right Triangles" PPT Courseware 2 There are four basic types of right-angled triangles: (1) The hypotenuse and the right-angled side are known; (2) The hypotenuse and an acute angle are known; (3) The hypotenuse and an acute angle are known; ( 4) Given a right angled side and an acute angle, the solution steps are as follows: 1. (3 points)..

"Applications of Solving Right Triangles" PPT courseware:

"Solution to Right Triangle" PPT courseware 2 Review the past and learn new things 1. The relationship between the sides and angles of a right triangle: (1) The relationship between angles: A+B = 90; (2) The relationship between sides: a2+b2=c2; (3) Angle and side The relationship between: sinA=a/c, cosA=b/c, tanA..

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Update Time: 2024-07-07

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