Questions: What are the exact values of a and b? a=5 sqrt(3), b=5 a=5, b=5 sqrt(3) a=5, b=5 sqrt(2) a=5, b=10 sqrt(3)

Transcript text: What are the exact values of $a$ and $b$ ? $a=5 \sqrt{3}, b=5$ $a=5, b=5 \sqrt{3}$ $a=5, b=5 \sqrt{2}$ $a=5, b=10 \sqrt{3}$

Solution

Step 1: Find the value of 'a'

In a 30-60-90 triangle, the side opposite the 30° angle is half the length of the hypotenuse. Therefore, a = 10/2 = 5.

Step 2: Find the value of 'b'

In a 30-60-90 triangle, the side opposite the 60° angle is √3 times the length of the side opposite the 30° angle. Therefore, b = a√3 = 5√3.

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