"Can you get a right triangle?" Pythagorean Theorem PPT Courseware 3

Description

"Can you get a right triangle?" Pythagorean Theorem PPT Courseware 3

situational questions

Question 1 What relationship do the three sides of a right triangle satisfy?

Answer: In a right triangle, the sum of the squares of the two right-angled sides is equal to the square of the hypotenuse

Question 2 If the sum of the squares of two sides of a triangle is equal to the square of the third side, is the triangle a right triangle?

collaborative inquiry

There are three sets of numbers below, which are the side lengths a, b, and c of a triangle:

①5,12,13; ②7,24,25; ③8,15,17.

Answer these two questions:

1. Do these three sets of numbers satisfy a²+b²=c²?

2. Use each set of numbers as three side lengths to make a triangle, and use a protractor to measure them. Are they all right-angled triangles?

in conclusion:

If the lengths of the three sides a, b, and c of a triangle satisfy a²+b²=c², then the triangle is a right triangle.

Three positive integers satisfying a²+b²=c² are called Pythagorean numbers.

1. Can the following sets of data be used as the three sides of a right triangle?

(1) 9, 12, 15; (2) 15, 36, 39;

(3) 12, 35, 36; (4) 12, 18, 22.

2. The lengths of the three sides of a triangle are 15cm and 20cm respectively.

25cm, then the area of ​​this triangle is ( )cm².

(A)250 (B)150 (C)200 (D)Not sure

3. As shown in the figure, in △ABC, AD⊥BC is in D, BD=9,

AD=12, AC=20, then △ABC is ( ).

(A) Isosceles triangle (B) Acute triangle

(C) Obtuse triangle (D) Right triangle

4. Expand the three sides of the right triangle by the same multiple at the same time

After that, the triangle obtained is ( ).

(A) Right triangle (B) Acute triangle

(C) Obtuse triangle (D) Unable to determine

Keywords: Pythagorean Theorem courseware, can you get a right triangle? courseware, Beijing Normal University edition eighth grade mathematics PPT courseware for the first volume, eighth grade mathematics slide courseware download, Pythagorean theorem PPT courseware download, can you get a right triangle PPT courseware download, .ppt format

For more information about the PPT courseware "Can a Right Triangle Be Obtained from the Pythagorean Theorem?", please click the "Can a Right Triangle Be Obtained from the Pythagorean Theorem ppt" ppt tag.

"Can you get a right triangle?" Pythagorean Theorem PPT courseware 2:

"Can a Right Triangle Be Obtained?" Pythagorean Theorem PPT Courseware 2 The ancient Egyptians used the following method to obtain right angles: They used 13 equally spaced knots to divide a rope into 12 equal-length sections. A craftsman held the rope at the same time. The 1st knot and the 13th knot, the two assistants...

"Can you get a right triangle?" PPT courseware on the Pythagorean Theorem:

"Can you get a right triangle?" PPT courseware review review of the Pythagorean Theorem: 1. After school, Xiaohong and Xiaoying broke up from school and went home along the southeast and southwest directions respectively. If Xiaohong and Xiaoying walked at the same speed, It is 40 meters/minute. It takes Xiaohong 15 minutes to get home,...

File Info

Update Time: 2024-09-28

This template belongs to Mathematics courseware Beijing Normal University eighth grade first volume mathematics industry PPT template

Preview