How to determine a right angled triangle

Question 1

Given the length of the 3 sides of a triangle, how do we determine if it is right angle without measuring the angles

Answer 1

We find the square of the all the sides

Check if the sum of the squares of the two smaller sides add up to the square of the longest side

If it does, the triangle is right angled

Question 2

Determine if the triangle is right angled

Find the squares of each side

Answer 2

17² = 289

15² = 225

8² = 64

Question 3

Determine if the triangle is right angled

Add the squares of the smaller sides

Answer 3

17² = 289

15² = 225

8² = 64

225 + 64 = 289

Question 4

Determine if the triangle is right angled

is the sum of the squares of the smaller sides equal to the square of the longest side

Answer 4

17² = 289

15² = 225

8² = 64

225 + 64 = 289

Yes, hence this is a right angled triangle

Question 5

Determine if the triangle is right angled

Find the squares of each side

Answer 5

14² = 196

12² = 144

12² = 144

Question 6

Determine if the triangle is right angled

Add the squares of the smaller sides

Answer 6

14² = 196

12² = 144

12² = 144

144 + 144 = 288

Question 7

Determine if the triangle is right angled

is the sum of the squares of the smaller sides equal to the square of the longest side

Answer 7

14² = 196

12² = 144

12² = 144

144 + 144 = 288

No, this is not a right angled triangle