Question

erties of the trigonometric functions question 1, r8.1.105 points: 0 of 1
the length of the sides of a triangle are given. determine if the triangle is a right triangle. if it is, identify the hypotenuse.
16, 18, 20

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the triangle is a right triangle. the hypotenuse is

b. the triangle is not a right triangle.

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse (longest side), and \(a,b\) are the legs.
Here, sides are 16, 18, 20. Longest side \(c = 20\), \(a = 16\), \(b = 18\).

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

\(16^2 + 18^2 = 256 + 324 = 580\)

Step3: Calculate \(c^2\)

\(20^2 = 400\)

Step4: Compare results

Since \(580
eq 400\), \(a^2 + b^2
eq c^2\).

Answer:

B. The triangle is not a right triangle.