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GREYUIT [131]
3 years ago
7

Suppose an isosceles triangle ABC has A= pi/6 and b=5=c. What is the length of a^2.

Mathematics
2 answers:
Oliga [24]3 years ago
3 0
Check the picture below.

mars1129 [50]3 years ago
3 0

Answer:

Option A. 5²(2-√3)

Step-by-step explanation:

In an isosceles triangle b = c = 5 and ∠A = π/6

By cosine rule in any triangle

a² = b² + c² - 2bc cosA

By putting the values of b, c and ∠A in the equation

a² = 5² + 5² - 2×5×5×cos(π/6) = 25 + 25 - (50√3/2) = 50 - 25√3

a² = 25(2-√3) = 5²(2-√3)

Therefore the answer is Option A. 5²(2 - √3)

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