The three sides of a right triangle are 6cm, 8cm and 10cm respectively. What is the height of the hypotenuse?

The three sides of a right triangle are 6cm, 8cm and 10cm respectively. What is the height of the hypotenuse?


Using the area of triangle, 6 * 8 = 10 * x.x = 4.8



As shown in the figure, it is a large square made up of four congruent right triangles and a small square in the middle. If the area of the square is 13, the area of the small square is 1, and the two sides of the right triangle are a and B respectively, then the square value of a + B and ()
A. 13B. 19C. 25D. 169


It can be seen from the figure that the two right sides a and B of a right triangle conform to A-B = 1, and the square area is 13, then the side length is 13, 〈 A2 + B2 = 13, and the solution is a = 3, B = 2, 〈 (a + b) 2 = 25



The logo of the International Mathematical conference held in Beijing in August 2002 is based on the Pythagorean circle and square by Zhao Shuang, an ancient mathematician of China. It is a large square (as shown in the figure) composed of four congruent right triangles and a small square in the middle. If the area of the large square is 13, the area of the small square is 1, the shorter right side of the right triangle is a, and the longer right side is B, Then the value of (a + b) 2 is ()
A. 13B. 19C. 25D. 169


(a + b) 2 = A2 + B2 + 2Ab = area of large square + area sum of four right triangles = 13 + (13-1) = 25



The emblem of the International Mathematical conference held in Beijing in August 2002 is based on the Pythagorean diagram by Zhao Shuang, an ancient Chinese mathematician. It is a large square composed of four congruent right triangles and a small square in the middle, as shown in Figure 7. If the area of the large square is 64, and the sum of the lengths of the two right sides of a right triangle is 10, then the area of the small square is 64


Given a + B = 10, a ^ 2 + B ^ 2 = 64, find the value of 64-2 * ab
AB = 18, so the area of the small square is 28



It's 3.6 meters long and 2.4 meters wide. The room needs 216 pieces of square tiles. If the length of the room is increased by 1.2 meters and the width is increased by 1 meter, how many pieces of tiles should be added?


3.6×2.4÷216=0.04
(3.6+1.2)×(2.4+1)÷0.04-216=192
The original room is 3.6 in length, 2.4 in width and 8.64 in area
The length of the back room is 3.6 + 1.2 = 4.8, the width is 2.4 + 1 = 3.4, the area is 16.32, the area is increased by 7.68, or 7.68 △ 0.04 = 192, so it should be 192



The workers are laying the floor tiles for a meeting room of the school. 400 square bricks with an area of 36dm2 should be used instead of 80cm square bricks. How many are needed?


80 cm = 8 decimeters
36 × 400 ÷ (8 × 8) = 225 pieces



It needs 500 pieces to pave the floor of the classroom with 16 square decimeters of square bricks. How many square decimeters of square bricks do you use
Land, 125?


The floor area is x square decimeter, and 125 pieces are needed
16×500=125X
125X=8000
X=64
Answer: use area is 64 square decimeter square brick to pave the floor, need 125 pieces



The school needs 500 square bricks with a side length of 2 mm, and how many square bricks with a side length of 4 DM?


Suppose you need x bricks. According to the meaning of the question, 4 × 4x = 2 × 2 × 500 & nbsp; & nbsp; & nbsp; 16x = 2000 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X = 125 A: you need 125 such square bricks



Build a brick wall 20 meters long, 2 decimeters thick and 1.5 meters high. If 520 bricks are used for each cubic meter of wall, how many bricks will it take to build this wall?


20*0.2*1.5*520=3120



Build a brick wall 20 meters long, 24 cm wide and 2.5 meters high. If each brick is 16 cubic decimeters, how many bricks do you need?
Application questions


24cm = 0.24M
16 cubic decimeter = 0.016 cubic meter
Brick wall volume = 20 × 0.24 × 2.5 = 12 (M3)
Need such brick = 12 △ 0.016 = 750 (piece)