In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what i
s the value of b, if
a=2sqrt3 , c=2b ?
2 answers:
Answer: b = √6
Step-by-step explanation: Use the Pythagorean Theorem to solve this.
a² + b² = c²
Plug in your values:
2√3² + b² = 2b²
When a square root is squared, the square root is cancelled out so you will be left with this:
2(3) + b² = 2b²
Subtract b² from both sides so you’re left with:
6 = b²
Now, to get rid of the square, just square root both sides:
√6 = √b²
Since the √6 is not a perfect square, leave it in the radical. Then, you get your answer:
b = √6
Answer:
the answer:b is equivalent to 2
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