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faust18 [17]
4 years ago
15

30-60-90 triangle adjacent leg is 15. what is the opposite leg?

Mathematics
1 answer:
Rainbow [258]4 years ago
8 0

The measure of the opposite leg is 25.98

<u>Step-by-step explanation</u>:

Step 1 :

In a right triangle,

  • The side opposite to 90° is the hypotenuse = 2a.
  • The side opposite to 30° is the adjacent leg = a.
  • The side opposite to 60° is the opposite leg = a√3.

Step 2 :

Given,

Adjacent leg, a = 15

Opposite leg, a√3 = 15 \times 1.732

Opposite leg = 25.98

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