Question

find the unknown length in the right triangle. the unknown length is approximately (type a whole number or decimal rounded as needed.) centimeters. centimeters squared. centimeters cubed.

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \( a^2 + b^2 = c^2 \), where \( c \) is hypotenuse, \( a,b \) are legs. Let \( a = 15 \), \( c = 18 \), find \( b \). So \( b^2 = c^2 - a^2 \).
\( b^2 = 18^2 - 15^2 = 324 - 225 = 99 \)

Step2: Solve for \( b \)

Take square root: \( b = \sqrt{99} \approx 9.95 \approx 10 \) (rounded). Unit is centimeters (length, so linear unit).

Answer:

10 centimeters.