Question

1 formula 0.5 points in a right triangle with side lengths of 30 cm and 77 cm, what is the length of the hypotenuse? round your answer to the nearest hundredth, but do not include \cm\ with your response. answer 2 formula 0.5 points if a right triangle has one leg that measures 7 in and the hypotenuse measures 33 in, what is the length of the other leg? round your answer to the nearest hundredth, but do not include \in\ with your response. answer

Explanation:

Question 1

Step1: Recall Pythagorean theorem

For a right triangle, \( c = \sqrt{a^2 + b^2} \), where \( a = 30 \), \( b = 77 \).

Step2: Calculate \( a^2 + b^2 \)

\( 30^2 + 77^2 = 900 + 5929 = 6829 \)

Step3: Take square root

\( c = \sqrt{6829} \approx 82.64 \)

Step1: Recall Pythagorean theorem

For a right triangle, \( b = \sqrt{c^2 - a^2} \), where \( a = 7 \), \( c = 33 \).

Step2: Calculate \( c^2 - a^2 \)

\( 33^2 - 7^2 = 1089 - 49 = 1040 \)

Step3: Take square root

\( b = \sqrt{1040} \approx 32.25 \)

Answer:

82.64

Question 2