it depends on how long the triangle is
Any triangle whose sides are in the same ratio with the corresponding sides of ABC.
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.
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.
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.
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
1:2:root3 (where 2 is the hypotenuse.)
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 β3:2. Therefore, the possible ratios for the lengths of the two legs are 1:β3, 2:β3, or β3:2. Option C, 1:β3, could be the ratio between the lengths of the two legs of a 30-60-90 triangle.
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.
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 the lengths are in the ratio 3:5, then the surface areas are in the ratio 9:25.