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One leg of a 45°-45°-90° triangle measures 9sqrt2 inches. What is the length of the hypotenuse? A. 18 inches B. 9sqrt2 inches C. 9sqrt3 inches D. 9 inches
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One leg of a 45°-45°-90° triangle measures 9sqrt2 inches. What is the length of the hypotenuse?

A. 18 inches
B. 9sqrt2 inches
C. 9sqrt3 inches
D. 9 inches

User Andy Stannard
by
8.9k points

1 Answer

7 votes
we know that
a=9√2
b=9√2
a=b---------- for having both angles of 45
c²=a²+b²-------> (9√2)²+(9√2)²------>(324)-----------> c=√324=18


the answer is the option A 18 inches
User Scott Carlson
by
7.9k points
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