Question

find the hypotenuse of this right triangle. what is the length of c, the hypotenuse of this triangle? you can solve on paper and enter your answer on zearn. the pythagorean theorem says that if a, b, and c are the sides of a right triangle, where c is the hypotenuse, then: ( a^2 + b^2 = c^2 ). the right triangle has ( a = 8 ), ( b = 6 ), ( c = ? )

Explanation:

Step1: Identify values of a, b

Given \( a = 8 \), \( b = 6 \), right triangle.

Step2: Apply Pythagorean theorem

Use \( a^2 + b^2 = c^2 \). Substitute values: \( 8^2 + 6^2 = c^2 \).

Step3: Calculate squares

\( 8^2 = 64 \), \( 6^2 = 36 \). So \( 64 + 36 = c^2 \).

Step4: Sum and solve for c

\( 100 = c^2 \), take square root: \( c = \sqrt{100} = 10 \).

Answer:

10