Question

find the trig ratio. first, find the hypotenuse. diagram of right triangle with angle θ, horizontal leg 15, vertical leg 8, hypotenuse c c = ?

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \( c^2 = a^2 + b^2 \), where \( a = 15 \), \( b = 8 \).
\( c^2 = 15^2 + 8^2 \)

Step2: Calculate squares

\( 15^2 = 225 \), \( 8^2 = 64 \), so \( c^2 = 225 + 64 = 289 \)

Step3: Take square root

\( c = \sqrt{289} = 17 \)

Answer:

17