Calculate Triangle Side AC: Using 3-4 Right Triangle Measurements

Look at the triangle in the diagram. Calculate the length of side AC.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find AC
00:03 We'll use the Pythagorean theorem in a right triangle
00:08 We'll substitute appropriate values and solve for AC
00:21 Take the square root
00:28 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the triangle in the diagram. Calculate the length of side AC.

333444AAABBBCCC

2

Step-by-step solution

To solve the exercise, we have to use the Pythagorean theorem:

A²+B²=C²

 

We replace the data we have:

3²+4²=C²

9+16=C²

25=C²

5=C

3

Final Answer

5 cm

Practice Quiz

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Consider a right-angled triangle, AB = 8 cm and AC = 6 cm.
Calculate the length of side BC.

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