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The length of the longer leg equals the length of the shorter leg times the square root of three.

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Q: What is the ratio between the lengths of the two legs of ab30-60-90 triangle?
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What is a ratio of the lengths of two sides of a triangle?

it depends on how long the triangle is


Which side lengths form a triangle that is similar to triangle ABC?

Any triangle whose sides are in the same ratio with the corresponding sides of ABC.


What is the 30 to 60 right triangle theorem?

The ratio of the lengths of the hypotenuse to the shortest side is 2, and the ratio of the lengths of the two sides adjacent to the right angle is the square root of 3.


what- Suppose the side lengths of a triangle have the ratio 5:12:13. Some possible triangles are shown here. Now suppose the perimeter of the triangle is ninety centimeters.What are the side lengths?

Given that the perimeter of the triangle is 90 centimeters, we can determine the actual side lengths by multiplying the ratio by a common factor. The total ratio value is 5 + 12 + 13 = 30. To find the actual side lengths, we divide the perimeter by this total ratio value: 90 / 30 = 3. Therefore, the side lengths of the triangle are 5 x 3 = 15 cm, 12 x 3 = 36 cm, and 13 x 3 = 39 cm.


If and the area of is 4 times greater than the area of what is the relationship between the perimeters of the triangles?

Assuming you mean that you you have two SIMILAR triangles and the areas are related by the ratio 1:4, then you are wanting to know the ratio of the side lengths: ratio areas = ratio sides² → ratio sides = √ ratios area = √1 : √4 = 1 : 2 The side lengths of the SIMILAR triangle which has 4 times the area of the other has side lengths that are twice the length of the other.

Related questions

What is a ratio of the lengths of two sides of a triangle?

it depends on how long the triangle is


What is the cosine ratio?

In a specific angle for a right triangle the cosine ratio is the ratio between the lengths of the adjacent side (side touching the angle) and the hypotenuse (longest side).


What could be a ratio between the lengths of the two legs of a 30-60-90 triangle?

1:square root 3


The ratio between the lengths of the two legs of a 30-60-90 triangle?

1:2:root3 (where 2 is the hypotenuse.)


Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle A. B. C. D. E. F.?

In a 30-60-90 triangle, the ratio between the lengths of the shorter leg and the hypotenuse is 1:2, and the ratio between the lengths of the longer leg and the hypotenuse is √3:2. Therefore, the possible ratios for the lengths of the two legs are 1:√3, 2:√3, or √3:2. Option C, 1:√3, could be the ratio between the lengths of the two legs of a 30-60-90 triangle.


Which side lengths form a triangle that is similar to triangle ABC?

Any triangle whose sides are in the same ratio with the corresponding sides of ABC.


The ratio of the lengths of two sides of a right triangle?

Proportional to the sine of the angles opposite them.


What is the tangent side of triangle?

There can be no tangent side. The tangent of an angle, in a right angled triangle, is a ratio of the lengths of two sides.


What is the 30 to 60 right triangle theorem?

The ratio of the lengths of the hypotenuse to the shortest side is 2, and the ratio of the lengths of the two sides adjacent to the right angle is the square root of 3.


What is the ratios function of sin?

The sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.In terms of ratios, the sine of an angle is defined, in a right angled triangle, as the ratio of lengths of the opposite side to the hypotenuse.


what- Suppose the side lengths of a triangle have the ratio 5:12:13. Some possible triangles are shown here. Now suppose the perimeter of the triangle is ninety centimeters.What are the side lengths?

Given that the perimeter of the triangle is 90 centimeters, we can determine the actual side lengths by multiplying the ratio by a common factor. The total ratio value is 5 + 12 + 13 = 30. To find the actual side lengths, we divide the perimeter by this total ratio value: 90 / 30 = 3. Therefore, the side lengths of the triangle are 5 x 3 = 15 cm, 12 x 3 = 36 cm, and 13 x 3 = 39 cm.


The two solids below are similar and the ratio between the lengths of their edges is 35. What is the ratio of their surface areas?

If the lengths are in the ratio 3:5, then the surface areas are in the ratio 9:25.