If one side of the rectangle is 15 cm long and the diagonal is 17 cm long, what is the length of the

Solution: The two sides of the rectangle and the diagonal line form a right triangle.

In a right-angled triangle: the square of the hypotenuse = the sum of the squares of the two right-angled sides.

So the other side = (17 -15 ) = 8 cm.

From the Pythagorean theorem, it can be seen that a +b = c

a=15 c=17

Find b15 +b = 17

225+b²=289

b = 64 then b = 8

17x17)-(15x15)=64 cm.

So the other side is 8 centimeters long.

Note; This question uses the Pythagorean theorem.

According to the Pythagorean theorem, the hypotenuse of a right triangle is the sum of the squares of the two right sides.

Then: To find the length of the straight angle, you only need to subtract the square of the length of the hypotenuse by the square of the other right-angled edge, and then square the result.

Therefore: 17 -15 = 64 64 is 8, so the arithmetic square root of 64 is 8, then the other side is 8

Using the Pythagorean theorem: 17 squared - 15 squared = 64 The open root number is equal to 8(The property that the sum of the squares of the two right-angled sides of a right triangle is equal to the square of the hypotenuse is called the Pythagorean theorem or Pythagorean theorem, also known as the Pythagorean theorem or Pythagoras theorem.)

In mathematical formulas, it is often written as a 2 + b 2 = c 2).

The diagonal of the square is twice as long as the root number of the side, so the answer is 17 roots and 2 cm

Put the square along the diagonal.

In two parts, four such triangles are put together into one large square, and the area of the large square is the area of two small squares, and the side length of the large square is the diagonal length, which is the open square of the area of the large square, according to the isosceles right triangle.

Formula: a=isosceles right triangle waist length.

The area of the square = 17 2 = 289 square centimeters.

Because of the diagonal.

2 2 = the area of a square.

So the length of the diagonal = (289*2) = 17 2

The area of the rectangle is 12 square centimeters, with 3 on one side and :

12 3 = 4 cm.

Diagonal: 3 squared + 4 squared) open the root number = 5 centimeters high liquid rice.

It is called the Pythagorean theorem.

From the meaning of the inscription pin mountain section, it can be seen that the intersection of the two diagonals forms an equilateral triangle with one side of the original rectangle, 8 2 = 4 (cm), and the only side length of the rectangle is the length of one side.

3 7 (cm) – the length of the other side of the rectangle.

Answer: The side lengths of the rectangle are 4 cm and 4 3 (about 7) cm, respectively.

Because the diagonal inside the rectangle is equal and the intersection point is flat and the lead divides the diagonal! Then, it just happens to know that the width is equal to 1 2 diagonal envy lines, and the length is the root number 3 * wide denier.

The long side is equal to the short side and the diagonal line forms 2 times the high soqin of the Shiyinbi triangle.

2*2 tan (30) = 4 3cm

16x8 2x2=128 square centimeters.

A: The area of this square is 128 square centimeters.

Let the width of this bright god be x and the length be y

then x+y=42 2

x^2+y^2=15^2 =>xy=108 =>x-y=±3> x1=12 、x2=9；Y1 = 9, Y2 = 12 (Shekey) Therefore, the length is 12 centimeters, and the width is 9 centimeters.