Question

Does a=2.1 b=7.2 c=7.5 form a right triangle

Answer 1

Answer:

Yes

Step-by-step explanation:

If the longest side squared is equal to the sum of the squares on the other 2 sides then they form a right triangle

longest side = 7.5

7.5² = 56.25

2.1² + 7.2² = 4.41 + 51.84 = 56.25

Thus the 3 values form a right triangle.

Answer 2

Answer: Yes, the three measurements form a right angled triangle

Step-by-step explanation: A right angled triangle can be solved by the Pythagoras theorem, that is, when one side is missing. The formula is

AC^2 = AB^2 + BC^2

(The square of the longest side equals to the sum of the square of the other two sides)

Where AC is the longest side and AB and BC are the other two sides.

In the question given, the longest side is 7.5, and so substituting for the values, we can write out the Pythagoras theorem as follows;

7.5^2 = 7.2^2 + 2.1^2

56.25 = 51.84 + 4.41

56.25 = 56.25

Since the Left Hand Side equals to the Right Hand Side, then the dimensions given in the question forms a right angled triangle