(a)

Question

Part A
Find the hypotenuse,
, of the triangle.
triangle23-138314-1438770434573
​ Figure not drawn to scale
​
A
158\sqrt{158}
158
​

B
160\sqrt{160}
160
​

C
121\sqrt{121}
121
​

D
46\sqrt{46}
46
​

Answer 1

To determine the hypotenuse of the triangle given that it is a right triangle, we can use the Pythagorean theorem, which states that:

\[ c^2 = a^2 + b^2 \]

where \(c\) is the length of the hypotenuse and \(a\) and \(b\) are the lengths of the other two sides.

Now, you provided some numbers that seem to represent possible values for the hypotenuse but did not specify the lengths of the sides of the triangle. Based on the notation in your question, it looks like you're looking for the hypotenuse out of the provided options.

If you could provide the lengths of the two legs of the triangle, I can calculate the hypotenuse for you. Alternatively, if you're looking to select the correct value from A, B, C, or D, please provide the lengths of the sides so we can perform the calculations effectively.