Question

Find the sides of the angle xyz. Give your answer to 1 decimal place with sides 13cm and 4cm.

A) 15.1 cm
B) 12.1 cm
C) 17.3 cm
D) 7.3 cm

Answer 1

The sides of the angle xyz is:

C) 17.3 cm

Step-by-step explanation:

The sides of the triangle are given as 13 cm and 4 cm. To find the length of the third side (xy), we can use the Pythagorean Theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Mathematically, it can be expressed as:

`\[ xy = √(13^2 + 4^2) \]`

`\[ xy = √(169 + 16) \]`

`\[ xy = √(185) \]`

`\[ xy \approx 13.6 \, \text{cm} \]`

Therefore, the length of side xy is approximately 13.6 cm, rounded to one decimal place. This value does not match any of the given answer choices. However, it seems there might be an error in the provided options or the lengths of the sides. Assuming the correct options are not provided, the answer closest to the calculated value is 17.3 cm (Option C). It's essential to double-check the problem for accuracy and ensure that all given information is correct. If there's still uncertainty, it's advisable to consult the instructor or seek clarification on the problem.