It is known that the length of the hypotenuse of a right triangle is 10, and the sum of the lengths of the two right sides is 14 Be careful

It is known that the length of the hypotenuse of a right triangle is 10, and the sum of the lengths of the two right sides is 14 Be careful


Let a right edge be a and the other right edge be (14-A). According to Pythagorean theorem, a ^ 2 + (14-A) ^ 2 = 100, we can know a = 6,14-a = 8 by solving the quadratic equation of one variable about A. so the two right edges of a triangle are 6,8 and the area is 24 respectively



Given that the length of the hypotenuse of a right triangle is 10, and the sum of the two right sides is 14, find the height of the hypotenuse of the right triangle


Let the hypotenuse be AB and the height of the hypotenuse be CD. According to Pythagorean theorem, AB ^ 2 = AC ^ 2 + BC ^ 2 = 100, AC ^ 2 + BC ^ 2 + 2 * ac * BC = 196, ac * BC = 48, SABC = AB * CD / 2sabc = BC * AC / 2, AB * CD / 2 = BC * AC / 2, AB * C



The area of a right triangle is 10, and the sum of the two right sides is 9. Find the length of the two right sides of the triangle


Let two right angle sides be x, y
xy=20,x+y=9
That is, X and y are the roots of x ^ 2-9x + 20 = 0
The solution of the equation is x = 4, y = 5 or x = 5, y = 4



The sum of the two right sides of a right triangle is 14 cm, and the area is 24 cm 2


Let the length of one right angle side be xcm, then the length of the other right angle side be (14-x) cm, 12 × x (14-x) = 24, the solution is X1 = 6, X2 = 8, when X1 = 6, 14-x = 8; when x2 = 8, 14-x = 6; answer: the length of two right angle sides are 6, 8



It takes 2000 pieces to pave the classroom with 30 cm long square bricks. How many pieces do you need to pave the classroom with 40 cm long square bricks?


Let x block be required, 40 × 40 × x = 30 × 30 × 2000, & nbsp; & nbsp; & nbsp; 1600x = 900 × 2000, & nbsp; & nbsp; & nbsp; 1600x = 1800000, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X = 1125; a: 1125 blocks are required



It takes 200 pieces of brick paving with a side length of 20 cm. How many pieces do you need to change the side length to 50 cm


20 × 20 × 200 (50 × 50) = 32 pieces



Floor tile is regular polygon, each side length of each floor tile is equal, there are five kinds of floor tiles of the following models, the degree of each corner is in turn
60 °, 90 °, 108 °, 120 ° 135 °, which of these floor tiles are applicable and which are not, please explain the reasons


60 degrees, 90 degrees and 120 degrees can be spliced together to form a plane (360 degrees). 108 degrees and 135 degrees are impossible to be spliced directly. It seems impractical to fill the gap with small angle tiles. 90 degrees and 120 degrees are our common square and hexagonal floor tiles, 60 degrees are regular triangles, which are rarely seen, but they are also commonly used



Xiaomeijia has just bought a new house and is going to use floor tiles to cover the kitchen floor of the new house. It is required that the floor tiles are regular polygons, each side of each floor tile is equal, and each corner is equal. There are five types of floor tiles in a decoration market, and the degrees of each corner are: (1) 60 ° (2) 90 ° (3) 108 ° (4) 120 ° (5) 135 ° respectively. If the kitchen uses only one polygon Where () is applicable
A. (1) or (2) or (3) B. (1) or (2) or (4) C. (2) or (4) or (5) d. (1) or (4) or (5)


(1) 360 ° can be divided by 60 ° and is applicable; (2) 360 ° can be divided by 90 ° and is applicable; (3) 360 ° cannot be divided by 108 ° and is not applicable; (4) 360 ° can be divided by 120 ° and is applicable; (5) 360 ° cannot be divided by 135 ° and is not applicable



The floor of a room is paved with three kinds of regular polygon tiles, and each vertex has one of them


If there are three kinds of regular polygon inlays, they must be at one vertex, and the sum of the inner angles of the regular polygon is 360 degrees. If the number of sides of the regular polygon is x, y, Z, and each vertex, there is only one regular polygon



Mingming's room is a rectangle with a length of 4 meters and a width of 3 meters, with right angle sides of 4 decimeters and 3 decimeters respectively. How many pieces do you need at least?
We need to believe in answers


4 meters = 40 decimeters, 3 meters = 30 decimeters, 40 × 30 = 1200 square decimeters
4 × 3 △ 2 = 6 square decimeters, 1200 △ 6 = 200 (pieces)
A: at least 200 yuan