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evablogger [386]
3 years ago
10

Find the length of the short leg of a 30-60-90 triangle if the long leg is 3cm

Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0

Answer:

Short leg = √3 cm

Step-by-step explanation:

the opposite angle of long leg is 60°

hypotenuse : x

sin 60° = 3/x = √3 / 2

x = (3 x 2) / √3 = 2√3

short leg length (s)

Cos 60° = 1/2 = s / x = s / 2√3

s = √3

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