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Let a and B be the two right sides of a right triangle. If the circumference of the triangle is 6 and the length of the hypotenuse is 2.5, then the value of AB is () A. 1.5 B. 2 C. 2.5 D. 3
∵ the perimeter of the triangle is 6 and the length of the hypotenuse is 2.5,
∴a+b+2.5=6，
∴a+b=3.5，①
∵ A and B are the two right sides of a right triangle,
∴a2+b2=2.52，②
AB = 3 can be obtained from ① and ②,
Therefore, D
In a right triangle, if the sum and difference of the hypotenuse and the smaller right angle side are 8 and 2 respectively, the length of the longer right angle side is () A. 5 B. 4 C. 3 D. 2
Let the hypotenuse and the smaller right angle side be C, a, respectively
It can be seen from the meaning of the title
a+c＝8
C − a = 2, a = 3, C = 5
According to Pythagorean theorem, B = 4
Therefore, B
In a right triangle, if the sum and difference of the hypotenuse and the smaller right angle side are 8 and 2 respectively, the length of the longer right angle side is () A. 5 B. 4 C. 3 D. 2
Let the hypotenuse and the smaller right angle side be C, a, respectively
It can be seen from the meaning of the title
a+c＝8
C − a = 2, a = 3, C = 5
According to Pythagorean theorem, B = 4
Therefore, B
In a right triangle, if the sum and difference of the hypotenuse and the smaller right angle side are 8 and 2 respectively, the length of the longer right angle side is () A. 5 B. 4 C. 3 D. 2
Let the hypotenuse and the smaller right angle side be C, a, respectively
It can be seen from the meaning of the title
a+c＝8
C − a = 2, a = 3, C = 5
According to Pythagorean theorem, B = 4
Therefore, B
In a right triangle, the sum and difference of the hypotenuse and the shorter right angle side are 8 and 2 respectively What is the longer right angle side
a+c=8,c-a=2
a=3,c=5
Therefore, the longer right angle B = √ (5 × 5-3 × 3) = 4
If the ratio of two right angles of a right triangle is 3:4 and the length of the hypotenuse is 20 cm, then What's the height on the bevel?
It is easy to see that the length of the two right sides of a right triangle is 12cm and 16cm respectively,
So the height on the bevel is 12 * 16 / 20 = 9.6cm
The hypotenuse of a right triangle is 20 cm, and the ratio of two right angles is 3:4. What is the circumference of this right triangle
The ratio of both sides of a right triangle is known. Then this triangle is the standard 3:4:5, and the hypotenuse is 5. Now the hypotenuse is 20, which is increased by 4 times, and the other sides are also increased by four times, that is, 12 and 16, so the perimeter is 12 + 16 + 20 to 48
We know that the circumference of a right triangle is 48 cm, and the oblique side is 20 cm. The difference between the two right angles is 4cm. What is the area of this triangle
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The sum of two right angles is
48-20 = 28cm
The two sides are:
(28 + 4) △ 2 = 16 cm
(28-4) △ 2 = 12cm
The area is: 16 × 12 △ 2 = 96 square centimeter
The area of this triangle is 96 square centimeters
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If the ratio of the two right sides of a right triangle is 3:4 and the length of the hypotenuse is 25, then the height of the hypotenuse is______ .
Let the length of two right angles be 3x and 4x, and according to Pythagorean theorem, we know that the length of oblique side is 5x
And the slant side length is 25, so x = 5,
That is, the two right angles are 15 and 20,
If the height on the hypotenuse is h, then 15 × 20 = 25h,
The solution is h = 12,
So the answer is 12
Given that the ratio of the lengths of the two right angles of a right triangle is 3 to 4, and the length of the hypotenuse is 25, find the height on the hypotenuse
Pythagorean theorem, the length of three sides is 15, 20, 25
RELATED INFORMATIONS
- 1. If the ratio of the two right sides of a right triangle is 3:4 and the length of the hypotenuse is 25, then the height of the hypotenuse is______ .
- 2. The three sides of a right triangle are 12 cm, 16 cm and 20 cm respectively
- 3. How many isosceles right triangles can be cut from a rectangular paper with a length of 5 decimeters and a width of 2 decimeters? In my son's homework, I divide the area of a rectangle by the area of a triangle to get 125. But the answer is no, it's 120. Obviously, it's wrong to divide the area by the area, I thought for a while, the answer is right, but I don't know how to use the formula. I think that the width of 2 decimeters = 20cm, except the side length of the triangle 4cm can be divided, the width can get the side length of five triangles, but when 50 cm is divided by 4 cm, the length of the rectangle can not be fully used
- 4. Proof: in a right triangle, if a right angle side is equal to half of the hypotenuse, then the acute angle of the right angle is equal to 30 °
- 5. It is known that the sum of the two right sides of a right triangle is 2. Find the minimum length of the hypotenuse and the length of the two right angles when the length of the oblique side reaches the minimum
- 6. Is there any way to calculate the value of special angle function? What degree is cos 82.8; Cos 42.3; Cos 0.725; Cos 0.9086?
- 7. In the right triangle ABC, given the right angle side a = root 96, hypotenuse C = root 150, calculate the circumference of the triangle ABC, 18 times 2
- 8. A right triangle. The length of the side opposite the right angle is 10 cm, and the other two sides are 8 cm and 6 cm respectively______ Centimeter
- 9. It is known that the ratio of the hypotenuse of a right triangle to one right angle side is 17:8, and the length of the other right angle side is 60
- 10. It is known that the sides to which △ ABC, ∠ a, ∠ B and ∠ C are respectively a, B, C and a: B: C = 13:12:5, is △ ABC a right triangle? Why? Understanding with Pythagorean
- 11. If the ratio of the two right sides of a right triangle is 3:4 and the length of the hypotenuse is 20, then its area is______ .
- 12. Consult: the oblique side of a right triangle is 15 cm long, and the sum of right angles is 20 cm. Find its area
- 13. One acute angle of a right triangle is 55 ° and the other acute angle is______ °．
- 14. The ratio of one right angle side to the hypotenuse of a right triangle is 12:13, and the length of the other right angle side is 5cm. What is the area of this right triangle?
- 15. Given that the angle between the hypotenuse and the base of a right triangle is 60 degrees and the height is 1.8 meters, what is the length of the bottom edge?
- 16. The angle between the hypotenuse and the base of a right triangle is 30 degrees. The length of the hypotenuse is 1.7 meters. How to find the length of the bottom edge?
- 17. An acute angle of a right triangle is 36 degrees. Find another acute angle
- 18. If the two sides of a right triangle are 12 and 5 respectively, the area of an isosceles triangle with its third side as the right angle side is 0______ .
- 19. The two right sides of a right triangle are 6m and 8m respectively. The area of this right triangle is______ Square meters
- 20. The difference between the two right angles of a triangle is 5cm and the area is 7cm 2