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anzhelika [568]
3 years ago
8

Apply the 30-60-90 triangle theorem to find the length of the longer leg of a triangle of the length of the shorter leg is 4 inc

hes.
3square root 4
7 inches
4 square root 2
8 square root 3

Mathematics
1 answer:
Kaylis [27]3 years ago
5 0

Answer:

4sqrt(3) inches

Step-by-step explanation:

The ratio of the lengths of the legs of a 30-60-90 triangle is:

short leg : long leg : hypotenuse

1 : sqrt(3) : 2

The long leg is sqrt(3) times the length of the short leg.

Here, the short leg measures 4 inches.

long leg = sqrt(3) * short leg

long leg = 4sqrt(3) inches

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