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What are the ratios of the longer leg of a 30-60- 90 triangle to the length of its hypotenus?
Wiki User
∙ 13y ago
Short leg = x
Long leg = x times the square root of 3
Hypotenuse = 2x
Wiki User
∙ 13y ago
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What can be the ratio of the length of the longer leg of a 30-60-90 triangle?
the ratios in such a triangle are 1:2:sqrt(3) so the longest length is opposite the 90 degree angle and is twice as large as the length opposite the 30 degree angle
What are the ratios of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
The longer leg is opposite the 60 deg angle. Suppose A = 60 deg, C = 90 deg and a and c are the corresponding sides. Then, by the sine rule a/c = sin(A)/sin(C) a/c = sin(60)/sin(90) = sqrt(3)/2
What are the ratios of edge length of one small tetrahedron to the large tetrahedron?
The ratios are "small to large".
What is the relationship between edge length ratios area ratios and volume ratios of similar figures with various scale factors?
Area ratio = (edge-length ratio)2 Volume ratio = (edge-length ratio)3 Volume ratio = (area ratio)3/2
What is the ratios of a length on a scale drawing to the corresponding length on the real object?
The scale factor.
What can be the ratio of the length of the longer leg of a 30-60-90 triangle?
the ratios in such a triangle are 1:2:sqrt(3) so the longest length is opposite the 90 degree angle and is twice as large as the length opposite the 30 degree angle
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 are the ratios of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
The longer leg is opposite the 60 deg angle. Suppose A = 60 deg, C = 90 deg and a and c are the corresponding sides. Then, by the sine rule a/c = sin(A)/sin(C) a/c = sin(60)/sin(90) = sqrt(3)/2
How can ratios and proportions be used to represent the relationships that exist between similar figures?
Example: triangle, first one is 3:4:5 (length of sides), second is 9:12:15. Using length of similar lines, ie the longest, reveals the longer is three times the length, revealing the scale difference ie 3
Which of the following could be the ratio of the length of a 30-60-90 to the length of its hypotenuse?
There's no such thing as the "length of a 30-60-90". The ratios of the lengths of the legs of such a triangle to the length of the hypotenuse are 1/2 and 1/2(sqrt(3).
How can trigonometric ratios be used to find the area of a triangle?
By themselves, they cannot. Two similar triangles have the same angels and so they have the same trig ratios. You need to know the length of at least one side to determine the area.
QRSDEF What is the extended proportion for the ratios of corresponding side length?
Restate the question: triangle QRS is similar to triangle DEF ..... (If this isn't your question, then change the wording and ask it again) Then (QR/DE) = (RS/EF) = (SQ/FD)
What are the ratios of edge length of one small tetrahedron to the large tetrahedron?
The ratios are "small to large".
Which ratios correctly describes the cosine function?
The cosine function on a right triangle is Adjacent leg divided by the hypotenuse of the triangle.
What is the relationship between edge length ratios area ratios and volume ratios of similar figures with various scale factors?
Area ratio = (edge-length ratio)2 Volume ratio = (edge-length ratio)3 Volume ratio = (area ratio)3/2
What is the ratios of a length on a scale drawing to the corresponding length on the real object?
The scale factor.
Explain how distances can be found using a right triangle?
Using trigonometric ratios.
