handapanda911746
handapanda911746 handapanda911746
  • 09-12-2020
  • Mathematics
contestada

The longer leg of a 30°-60°-90° triangle measures
[tex]8 \sqrt{3} [/tex]
inches. What is the length of the shorter leg?​

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 14-12-2020

Answer:

Length of shorter leg is 8 inches

Step-by-step explanation:

Here, we want to calculate the length of the shorter leg of a 30-60-90 triangle

In a 30-60-90 triangle, the sides are in the ratio;

1: √3 : 2

So the ratio of the length of the shorter and longer leg is;

1 : √3

So in this case let the shorter leg be x

x/8 √3 = 1/√3

8 √3 * 1 = √3 * x

x = 8 √3/√3

x = 8 inches

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