Question

Which of the following three sets of lengths could be used to form a right triangle A 39,15 and 36

Answer 1

Step-by-step explanation:

To find a set of 3 leg lengths that will form a right-angled triangle, the square of the largest leg must be equal to the sum of the squares of the other 2 legs.

We try out all the options:

39² = 1521, 15² + 36² = 1521.

12² = 144, 8² + 4² = 80.

17² = 289, 13² + 9² = 250.

Since 39² equals 15² + 36², option A is the correct answer.

Answer 2

We must find out 3 angles to make a right triangle.

The formula is c² = a² + b².

We know that the longest angle is equal to the other two angles.

Now, let's work this problem out.

Option A

39² = 1521

15² + 36² = 1521.

Option B

12² = 144

8² + 4² = 80.

Option C

17² = 289

13² + 9² = 250.

39² = 15² + 36², so the answer is A.

✔️ Hence, verified. ✔️