A triangle is divided into two triangles by a line from an angle to the opposite side. Q: how many angles does this triangle have Is the flat corner on the other side?

A triangle is divided into two triangles by a line from an angle to the opposite side. Q: how many angles does this triangle have Is the flat corner on the other side?


I think there are eight angles. The concept of angle is between three points. Because there is one more dividing line, there are three more points in one, so there is an additional angle of 180 degrees. The vertex of that angle is the point where the dividing line intersects on one side. I don't know if I have made a mistake. If I'm wrong, please refer to the quantity



How can you draw a line to make two triangles when you remove a corner from a square,


There is no other way to divide a square into two triangles except to draw a diagonal line on the square, remove a big angle, and draw a line on the remaining triangle (half the area of the square)



If there is a square whose area is equal to the area of the figure
(1) Try to find the side length of the square;
(2) Make a line segment with the root 5 in the graph (the end point should be a small square)


(1) Try to find the square's side length = √ the area sum of 5 squares with side length 1 = √ 5
(2) The diagonal line of a rectangle composed of two small squares side by side is the line segment with the length of √ 5



First cut the following two figures twice, and then put them together into squares


(1) As shown in the figure, cut the gray part, then flip and translate it to the red triangle, and form a square with the remaining triangles: (2) as shown in the figure, cut the two triangles of the gray part, then flip and translate them to the red triangle respectively, and form a square with the remaining empty parts:



If the perimeter of the rectangle is 20cm, then when the length of the rectangle is___ The area has a maximum____


Let the length of the rectangle be x, then the width is 10-x, s = x (10-x) = - X & sup2; + 10x = - (X & sup2; - 10x) = - (X-5) & sup2; + 25, so when x = 5, the maximum s is 25
That is to say, when the rectangle is square and the length and width are 5, s is the largest,



Xiao Ming's uncle's family contracted a rectangular fish pond. It is known that its area is 48 square meters and its diagonal length is 10 meters. To calculate the perimeter of the rectangular fish pond


Let the length be x and the width be y,
So, xy = 48
X * x + y * y = 10 * 10 (according to Pythagorean theorem)
The solution is x = 8, y = 6
Therefore, the perimeter is (8 + 6) * 2 = 28 meters



Xiao Ming's uncle's family has contracted a rectangular fish pond with an area of 48m2 and a diagonal length of 10m. In order to build a fence, we need to calculate the perimeter of the rectangular fish pond. Can you help Xiao Ming calculate it?


Let the length of the rectangle be a and the width be B. according to the meaning of the title, ab = 48 − - (1) A2 + B2 = 100 − - (2), (2) + (1) × 2, then (a + b) 2 = 196, that is, a + B = 14, so the perimeter of the rectangle is 14 × 2 = 28m



Xiao Ming's uncle's family has contracted a rectangular fish pond with an area of 48m2 and a diagonal length of 10m. In order to build a fence, we need to calculate the perimeter of the rectangular fish pond. Can you help Xiao Ming calculate it?


Let the length of the rectangle be a and the width be B. according to the meaning of the title, ab = 48 − - (1) A2 + B2 = 100 − - (2), (2) + (1) × 2, then (a + b) 2 = 196, that is, a + B = 14, so the perimeter of the rectangle is 14 × 2 = 28m



When the length and width of a rectangle are increased by 10 cm, the area will be increased by 500 square cm, and the perimeter of the original rectangle will be calculated


Let the length of the original rectangle be a and the width be B
Then (a + 10) (B + 10) - AB = 500
10(a+b)+100=500
So a + B = 40
So the perimeter of the original rectangle
=2(a+b)=80cm



How many earths does Jupiter have... How many earths can it hold


Jupiter's mass is 318 times that of the earth, and its volume is more than 1300 times that of the earth