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

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

Review review:

1. After school, Xiao Hong and Xiao Ying leave school and go home along the southeast and southwest directions respectively. If Xiao Hong and Xiao Ying both walk at a speed of 40 meters/minute, Xiao Hong takes 15 minutes to get home, and Xiao Ying reaches home in 15 minutes. It takes 20 minutes to get home. The distance between Xiaohong’s and Xiaoying’s homes is ( )

A. 600 meters; B. 800 meters; C. 1000 meters; D. Unsure

2. The two right-angled sides of a right triangle are 5 cm and 12 cm respectively. Then the height of the hypotenuse is ( )

A. 6 cm; B. 8 cm; C. 80/13 cm; D. 60/13 cm;

Do it, measure it

The following three sets of numbers are the side lengths a, b, and c of a triangle:

5, 12, 13; 7, 24, 25; 8, 15, 17.

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

(2) Use each set of numbers as three sides to make a triangle and measure it with a protractor. Are they all right-angled triangles?

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

Then this triangle is a right triangle.

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

Can the following sets of numbers be used as the three sides of a right triangle? Tell us your reasons.

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

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

Thinking questions

(1) If the three line segments a.b.c satisfy a2=c2-b2, is the triangle formed by these three line segments a right triangle? Why?

(2) The lengths of the three sides of a right triangle are 5, 12, and 13. If these three sides are expanded three times at the same time, will the resulting triangle still be a right triangle?

1. If line segments a, b, c can form a right triangle, their ratio may be ( )

A. 3:4:7; B. 5:12:13; C. 1:2:4; D. 1:3:5.

2. If the lengths of the three sides of a right triangle are expanded by the same multiple, the resulting triangle is ( )

A. It is a right triangle; B. It may be an acute triangle;

C. It may be an obtuse triangle; D. It cannot be a right triangle.

3. The three sides of the triangle are a, b, c, and satisfy the equation (a+b)²-c²=2ab, then the triangle is: ( )

A. A right triangle; B. An acute triangle;

c. is an obtuse triangle; D. is an isosceles right triangle.

4. It is known that BC=41, AC=40, AB=9 in ΔABC, then this triangle is a _______ triangle, and ______ is the largest angle.

5. Take the three sides of ΔABC as side lengths and draw a square outward. The area obtained in sequence is 25,144,169, then this triangle is a ______ triangle.

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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 3:

"Can you get a right triangle?" Pythagorean Theorem PPT Courseware 3 Situational Questions Question 1 What kind of relationship does the three sides of a right triangle satisfy? Answer: In a right triangle, the sum of the squares of the two right sides is equal to the square of the hypotenuse. Question 2 If a triangle...

"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...

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Update Time: 2024-09-05

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