Question

The diagram shows a right-angled triangle.

Use Pythagoras ' Theorem to work out the length of AC.

Answer 1

AC = 15.52 centimeters

Explanation:

Step 1) Determine the definition of the Pythagorean Theorem.

According to the Pythagorean Theorem, the square of the length of the hypotenuse of any right triangle equals the sum of each of the legs squared.

Step 2) Apply the theorem to the problem.

In this specific situation, AB and BC are the legs of the right triangle, while AC is the hypotenuse. This means that AB^2 + BC^2 should equal AC^2.

Step 3) Create an equation based on the formula.

The equation should look like this:

AB^2 + BC^2 = AC^2

4^2 + 15^2 = AC^2

16 + 225 = AC^2

241 = AC^2

AC =
`√(241)`

AC = 15.52 centimeters

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