Question

Which expression represents the length of the hypotenuse, c, of the triangle below?

Answer 1

Answer:

Length of hypotenuse = √( a² + b²)

Step-by-step explanation:

The question is incomplete and unclear. From the question, it is clear we are to determine the hypotenuse of the triangle. Hence the triangle is a right angled triangle.

Find attached the diagram used in solving the question.

From the diagram,

a = opposite

b = adjacent

c = hypotenuse

To find the hypotenuse of a right angled triangle, we apply Pythagoras theorem.

Using Pythagoras theorem

Hypotenuse² = opposite ² + adjacent²

Insert the values of each, we have:

c² = a² + b²

Then we find the Square root both sides

c = √( a² + b²)

So we can insert the values of a and b if we are given.

For instance, if b = 6

c = √( a² + 6²)

Using the diagram,

Hypotenuse: c = √( a² + b²)