Question

Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the library. Then, from the library, he travels about 3.6 miles to return home. The entire trip forms a triangle.

The largest angle made during his trip was?

Answer 1

The answer is B, at the mall.

Explanation:

Got it right in edg.

Answer 2

Let us draw a picture to determine which type of the triangle has been formed in the given scenario.

Let Gene's home is at point A, the shopping mall is at B and the library is at C. Please see the attached image.

Now, we can see that the triangle is a right angle triangle. The angle B is 90 degrees.

We know that the sum of all interior angle of a triangle is 180 degrees. Hence, we can say that

`A+B+C=180^(\circ)\\A+90+C=180\\A+C=90`

It means that the sum of angles A and C should be 90 degrees. So, both the angles must be less than 90 degrees.

Hence, the largest angle made during the trip was 90 degrees.