As shown in the figure, four congruent right triangles are made of cardboard (the lengths of the two right angles are a and B respectively, and the length of the hypotenuse is c) and a square with the length of side C. please put them together into a figure that can prove the Pythagorean theorem

As shown in the figure, four congruent right triangles are made of cardboard (the lengths of the two right angles are a and B respectively, and the length of the hypotenuse is c) and a square with the length of side C. please put them together into a figure that can prove the Pythagorean theorem


It is proved that 12 × ab × 4 + (B-A) × (B-A) = C2, and 2Ab + b2-2ab + A2 = C2, that is, A2 + B2 = C2



The sum of the two right sides of a right triangle is 21 cm, the ratio of them is 3:4, the length of the third side is 15 cm, and the height of the third side is 15 cm______ Cm


1 is: 21 △ 3 + 4, = 21 △ 7, = 3 (CM), triangle area: (3 × 3) × (3 × 4) △ 2, = 9 × 12 △ 2, = 54 (square cm); 54 × 2 △ 15, = 108 △ 15, = 7.2 (CM), answer: the height on the third side is 7.2 cm, so the answer is: 7.2



The sum of the two right sides of a right triangle is 21 cm, and their ratio is 3:4. The third side is 15 cm long, and how high is the third side?


3x+4x=21
x=3
The two right angles are: 3x = 3 * 3 = 9; 4x = 4 * 3 = 12
Height of the third side * length of the third side = 9 * 12
Height of the third edge = 9 * 12 / 15 = 7.2 (CM)



The sum of the lengths of the two right sides of a right triangle is 21 cm, and their ratio is 3:4. The length of the third side is 15 cm, and the height of the third side is? Cm


From 3x + 4x = 21, the two right angle sides of x = 3 are: 3x = 3 * 3 = 9; 4x = 4 * 3 = 12, the height of the third side * the length of the third side = 9 * 12 (equal area method) and the height of the third side = 9 * 12 / 15 = 7.2 (CM)



The sum of the two right sides of a right triangle is 21 cm, the ratio of them is 3:4, the length of the third side is 15 cm, and the height of the third side is 15 cm______ Cm


1 is: 21 △ 3 + 4, = 21 △ 7, = 3 (CM), triangle area: (3 × 3) × (3 × 4) △ 2, = 9 × 12 △ 2, = 54 (square cm); 54 × 2 △ 15, = 108 △ 15, = 7.2 (CM), answer: the height on the third side is 7.2 cm, so the answer is: 7.2



A right triangle steel plate is drawn on the drawing with a scale of 1:200. The two right angles are 5.4cm long, and their ratio is 5:4. What is the actual area of this steel plate?


5.4 △ 1200 = 1080 (CM), 5 + 4 = 9 (CM), 1080 × 59 = 600 (CM) = 6 (m), 1080 × 49 = 480 (CM) = 4.8 (m), area: 6 × 4.8 △ 2 = 14.4 (M2); a: the actual area of this steel plate is 14.4 square meters



A right triangle steel plate is drawn on the graph with a scale of 1 / 200. The two right angles of the graph are 5.5cm in length
Their pen is 3:2. What's the actual area of the steel plate?


According to their comparison, one side is 3.3cm, and the other side is 2.2cm
1: The actual distance is 3.3x200 = 660cm = 6.6m, 2.2x200 = 440cm = 4.4m
Triangle area = bottom * height △ 2
6.6x4.4/2=14.52m²



On the graph with the scale of 1:200, the two right sides of a right triangle are 5.5cm long in total, and their ratio is 3:2. The actual area of the steel plate is calculated


5.5*3/5=3.3cm
5.5-3.3=2.2
1/2*2.2*3.3=3.63
3.63*200=726



The length of the hypotenuse of the right triangle is 150 cm. The degree of the triangle is 90, 60 and 30 degrees. The length of the other two sides


30 ° is 75 cm, 60 ° is 75 times root 3 cm



The length of a right triangle is 18cm and the angle is 30 degrees,


If the length of the right angle opposite the 30 degree angle is 18cm, then the length of the oblique side is 18 / sin30 = 36 (CM)
If the right angle side of a 60 degree angle pair is 18cm, then the length of the hypotenuse is 18 / cos30 = 12 √ 3 (CM)