"Right Triangle" PPT courseware

Description

"Right Triangle" PPT courseware

learning target

1. Master the property theorems and determination theorems of right triangles

2. Master the properties of right triangles containing 30º angles

Key points and difficulties in learning

Key points: property theorems and determination theorems of right triangles

Difficulty: Properties of right triangles containing 30º angles

Observe and think

1. As shown in the figure, in Rt△ABC, the sum of two acute angles

∠A+∠B=90°

2. In △ABC, if ∠A+∠B=90°, is △ABC a right triangle?

Properties of right triangles:

The two acute angles of a right triangle are complementary to each other.

Determination theorem of right triangle:

If two angles of a triangle are complementary to each other, then the triangle is a right triangle.

think about it

Can you use the properties of equilateral triangles to prove this property of right triangles?

As shown in the figure, in Rt△ABC, if BC=1/2AB, then what degree is ∠A equal to?

From this it can be concluded that:

In a right triangle, if a right-angled side is equal to half the hypotenuse, then the angle subtended by this right-angled side is equal to 30°

practise

1. In Rt△ABC, ∠A :∠B: ∠C =1:2:3, if AB=10cm, find the length of BC

2. Group A and Group B on page 149 of the textbook

Summary: What did you gain from this class? Communicate with your peers

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Update Time: 2024-11-02

This template belongs to Mathematics courseware Hebei Education Edition Eighth Grade Mathematics Volume 1 industry PPT template

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