what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = \\boxed{} centimeters
what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = \\boxed{} centimeters
Answer
Explanation:
Step1: Apply Pythagorean theorem
For a right triangle, ( c^2 = a^2 + b^2 ), where ( a = 4.9 ) cm, ( b = 2.4 ) cm. So ( c^2 = 4.9^2 + 2.4^2 ). Calculate ( 4.9^2 = 24.01 ), ( 2.4^2 = 5.76 ). Then ( c^2 = 24.01 + 5.76 = 29.77 ).
Step2: Find the square root
Take the square root of ( 29.77 ): ( c = \sqrt{29.77} \approx 5.5 ) (rounded to nearest tenth).
Answer:
5.5