triangle GMA is 30 degree-60 degree-90 degree.
If m=26cm,find a and s.
In a 30-60-90 degree triangle, the ratio of the lengths of the sides is usually represented as:
a : s : m = 1 : √3 : 2
Given that the length of side m is 26 cm, we can find the lengths of sides a and s using this ratio.
First, let's find the length of side a:
a : s : m = 1 : √3 : 2
Substituting m = 26 cm:
a : s : 26 = 1 : √3 : 2
To find the value of side a, we can set up a proportion equation:
1/√3 = a/26
Next, solve for a by cross-multiplying:
a = (1/√3) * 26
To simplify, multiply the numerator and denominator:
a = (26√3) / 3
Now, let's solve for the length of side s:
a : s : m = 1 : √3 : 2
Substituting a = (26√3) / 3 and m = 26 cm:
(26√3) / 3 : s : 26 = 1 : √3 : 2
To find the value of side s, we can set up a proportion equation:
√3/26 = s/26
Next, solve for s by cross-multiplying:
s = (√3/26) * 26
Simplifying, we find:
s = √3
Therefore, the length of side a is (26√3) / 3 cm, and the length of side s is √3 cm.
To find the lengths of the sides in a 30-60-90 degree triangle, we need to know the length of one of the sides. In this case, you have given that side m = 26 cm.
In a 30-60-90 triangle, the sides are always in a specific ratio:
The length of the shorter leg (opposite the 30-degree angle) is half the length of the hypotenuse.
The length of the longer leg (opposite the 60-degree angle) is √3 times the length of the shorter leg.
Using this information, we can find the values of a and s.
Given that the hypotenuse (m) is 26 cm:
a = half the length of the hypotenuse
a = (1/2) * m
a = (1/2) * 26
a = 13 cm
s = √3 times the length of the shorter leg
s = √3 * a
s = √3 * 13
s = 13√3 cm
Therefore, the value of a is 13 cm and the value of s is 13√3 cm.
If M is 60 degrees, and the sides are g,m,a
g = 60/√3
a = 120/√3
dunno what the heck s is.