Question

quiz unit 3 - logic and geometry 10 of 34 this quiz: 34 point(s) possible this question: 1 point(s) possible save submit find the unknown length in the right triangle shown to the right. 33 in. 56 in. the unknown length in the given right triangle is (type a whole number or decimal rounded to the nea...) square inches. inches cubed. inches.

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, the Pythagorean theorem states that \( a^2 + b^2 = c^2 \), where \( a \) and \( b \) are the legs, and \( c \) is the hypotenuse. Here, \( a = 33 \) in, \( b = 56 \) in. So we calculate \( 33^2 + 56^2 \).
\( 33^2 = 1089 \), \( 56^2 = 3136 \), then \( 1089 + 3136 = 4225 \).

Step2: Find the square root

Now, we find \( c = \sqrt{4225} \). Since \( 65^2 = 4225 \), so \( c = 65 \). Also, the unit for length is inches.

Answer:

65 inches