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The hypotenuse of a right triangle is 16 units and the length of one of the legs is 12 units. What is the length of the other leg in simplest radical form?

A. 2√13
B. 4√11
C. 2√17
D. 4√7

User Stepper
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2 Answers

5 votes

Answer:

D, 4√7

Explanation:

User Joshua McCarthy
by
4.2k points
4 votes

Answer:

Explanation:

c = 16

a = 12

b = ?

a^2 + b^2 = c^2

12^2 + b^2 = 16^2

144 + b^2 = 256

b^2 = 256 - 144

b^2 = 112

b^2 = 16 * 7

sqrt(b^2) = sqrt(16)*sqrt(7)

b = 4 * sqrt(7)

User Steven Brookes
by
3.9k points