"Pythagorean Theorem" PPT courseware 3

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"Pythagorean Theorem" PPT courseware 3

What is the relationship between the areas of A, B, and C?

SA+SB=SC

An isosceles right triangle has this property:

The sum of the squares of the two straight sides is equal to the square of the hypotenuse

Proof 1: The relationship between a, b, c

a2 +b2 =c2

∵S large square=(a+b)2=a2+b2+2ab

S large square = 4S right triangle + S small square

=4·1/2ab+c2

=c2+2ab

∴a2+b2+2ab=c2+2ab

∴a2 +b2 =c2

give it a try

1. As shown in the figure, a gate with a height of 3 meters and a width of 4 meters needs to add a reinforcing wooden bar between the vertices of the opposite corners. The length of the wooden bar is ( )

A.3 meters B.4 meters C.5 meters D.6 meters

2. Known: In Rt△ABC, AB=4, AC=3, then the length of BC is___________

3. If the lengths of the three sides of a right triangle are three consecutive even numbers, then the lengths of its three sides are ( )

A 2, 4, 6 B 6, 8, 10

C 4, 6, 8 D 8, 10, 12

4. There are two points A and B at both ends of the lake. Measured from point C in the BC direction at right angles to the BA direction, CA=130 meters and CB=120 meters, then AB is ()

A.50 meters B.120 meters C.100 meters D.130 meters

Ability competition

1. Judgment question:

1) The three sides of a right triangle are a, b, c respectively, then the following formula must be satisfied: a2+b2 =c2( )

2) The lengths of the two sides of a right triangle are 3 and 4 respectively, then the length of the third side is 5.( )

Keywords: Pythagorean Theorem teaching courseware, New People's Education Edition eighth grade mathematics volume 2 PPT courseware, eighth grade mathematics slide courseware download, Pythagorean Theorem PPT courseware download, .ppt format

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Update Time: 2024-10-08

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 2 industry PPT template

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