Question

Choose from the following answers the correct solution to the questions below:

(30° : √2 : 45° : 13)
Prove the answer without the use of a calculator.
a. (√2)
b. (13)
c. (30°)
d. (45°)

Answer 1

Since 45° is half of 90°, the ratio for a right triangle with a 45° angle would be 1 : 1 : √2.

The correct solution to the given question is option (d) 45°.

Step-by-step explanation:

To prove this without using a calculator, we can utilize the fact that a right triangle with angles 30°, 60°, and 90° has a ratio of side lengths of 1 : √3 : 2. Since 45° is half of 90°, the ratio for a right triangle with a 45° angle would be 1 : 1 : √2.

Therefore, the correct solution is (√2).

The correct solution to the given question is option (d) 45°.