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

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

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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).

1:square root 3

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

As volume is length x length x length, cube the ratio of the lengths, thus: Ratio of lengths = 2 : 5 ⇒ Ratio of volumes = 23 : 53 = 8 : 125

The answer to the question depends on what the ratio is between: side length and area, or lengths of base and height, or interior and exterior angles. But since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.

Related questions

it depends on how long the triangle is

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).

1:square root 3

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

Proportional to the sine of the angles opposite them.

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.

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.

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.

They are in the same proportion as the sines of the angles that are opposite them.

Sine Cosine Tangent Cotangent Secant Cosecant

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

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