A right triangle has a right angle of 9 cm and an angle of 45 degrees

A right triangle has a right angle of 9 cm and an angle of 45 degrees

A right triangle has an angle of 45 degrees
He is an isosceles right triangle
Area = 9 × 9 △ 2 = 40.5 cm ·

The area of a right triangle is 36 square centimeters. One right angle side is nine centimeters long. How many centimeters is the other right angle side of it?

8 cm

If the length of one right angle side of a right triangle is 11 and the other two sides are natural numbers, then its perimeter is () A. 121 B. 120 C. 132 D. None of the above is true

Let the other right side be x and the hypotenuse be y
According to the Pythagorean theorem, the following results are obtained
y2=x2+121,
y2-x2=121,
(y+x)(y-x)=121=121×1,
∵ x, y are natural numbers,
∴x+y=121,y-x=1,
∴x=60,y=61,
The circumference is: 11 + 61 + 60 = 132
Therefore, C

If the edge length of a right triangle is 12 and the other two sides are natural numbers, then its perimeter is? A. 36 b.28 c.56 D. uncertain Also, I thought about 5, 12, 13,

Since 5, 12, 13 are wrong, let's change our mind
If we take three sides as N times of 3,4,5
3 4 5
12 x y, x = 16, y = 20, C = 20 + 12 + 16 = 48
3 4 5
x 12 y,x=9 y=15
C=9+12+15=36,
So choose a

A right triangle has a right angle side length of 11, and the other two sides are natural numbers, so its circumference is () A. 132 B. 121 C. 120 D. None of the above answers are correct

Let the other two sides be a and B (a > b)
Then according to Pythagorean theorem, we get that A2-B2 = 121
∵ the length of the other two sides is a natural number
∴(a+b)(a-b)=121=121×1
The sum of the other two sides is 121,
So the circumference of the triangle is 132
Therefore, a

If the length of one right angle side of a right triangle is 11 and the other two sides are natural numbers, then its perimeter is () A. 121 B. 120 C. 132 D. None of the above is true

Let the other right side be x and the hypotenuse be y
According to the Pythagorean theorem, the following results are obtained
y2=x2+121,
y2-x2=121,
(y+x)(y-x)=121=121×1,
∵ x, y are natural numbers,
∴x+y=121,y-x=1,
∴x=60,y=61,
The circumference is: 11 + 61 + 60 = 132
Therefore, C

One right angle side of a right triangle is 11 and the other two sides are natural numbers?

Let the other right side be x and the base be y. according to Pythagorean theorem, X * x + 11 * 11 = y * y, so (x + y) * (Y-X) = 121. (x + y) = 121 / (Y-X). Because three sides of a triangle are natural numbers, so (x + y) is also a natural number. The condition that this triangle must satisfy is Y-X < 11 < y + X. therefore, x + y = 121. Perimeter of triangle = x + y + 11 = 132

Xiao Ming said, "is there a right triangle whose three sides are exactly three consecutive even numbers?" do you agree with Xiao Ming? If you think Xiao Ming's statement is correct, ask for the length of each side of the right triangle. If you think Xiao Ming's statement is not correct, please explain the reason

345 is a right triangle. The most classic, so there are 68 10
Let the middle number be X
Then (X-2) ^ 2 + x ^ 2 = (x + 2)^
2X^2+4-4X=X^2+4X+4
X^2=8X
X = 8, so the three numbers are 68 10
That's it
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The length of three sides of a right triangle is three consecutive even numbers. What is the area of this triangle

The three sides of the triangle are 6, 8 and 10,
So the area is (6 * 8) / 2 = 24

If the three sides of a right triangle are three continuous even numbers and the area is 24, then the lengths of the three sides of the right triangle are respectively 3Q

6 8 10