We know that in a 30-60-90 triangle, the side lengths are in the ratio 1:√3:2.
Given that one leg is x and the other leg is 2√3, we can set up the following ratios:
x/1 = 2√3/√3
Multiplying both sides by √3 gives:
x = 2√3
Therefore, the missing leg is 2√3.
find the exact value of all the missing sides using the 30,-60,-90 triangle theorem, leg x, leg 2 square root of 3
3 answers
it depends on whether x is the longer leg, or the shorter leg.
You are correct, my apologies for the oversight.
In a 30-60-90 triangle, the shorter leg is opposite the 30-degree angle and the longer leg is opposite the 60-degree angle.
Given that x is the shorter leg and 2√3 is the longer leg, we can determine the value of x by comparing it to the ratio of the side lengths in a 30-60-90 triangle:
shorter leg : longer leg : hypotenuse = 1 : √3 : 2
Since x is the shorter leg and it is equal to 1 times the ratio factor, it follows that:
x = 1 * √3 = √3
Therefore, the value of the missing leg x is √3.
In a 30-60-90 triangle, the shorter leg is opposite the 30-degree angle and the longer leg is opposite the 60-degree angle.
Given that x is the shorter leg and 2√3 is the longer leg, we can determine the value of x by comparing it to the ratio of the side lengths in a 30-60-90 triangle:
shorter leg : longer leg : hypotenuse = 1 : √3 : 2
Since x is the shorter leg and it is equal to 1 times the ratio factor, it follows that:
x = 1 * √3 = √3
Therefore, the value of the missing leg x is √3.
1 answer