1:2:root3 (where 2 is the hypotenuse.)
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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.
Ah, what a lovely question we have here. In a right triangle, the ratio of the adjacent side to the hypotenuse is called cosine. It helps us understand the relationship between the lengths of the sides and the angles of the triangle. Just remember, happy little ratios like these can help you create beautiful mathematical landscapes on your canvas of knowledge.
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