Right Triangle Side Length: Find BC Given Sides 5 and 13

Given the triangle ABC, find the length BC

131313555AAACCCBBB

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find BC
00:03 We'll use the Pythagorean theorem in a right triangle
00:11 We'll substitute appropriate values and solve for BC
00:19 Isolate BC
00:32 Take the square root
00:39 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Given the triangle ABC, find the length BC

131313555AAACCCBBB

2

Step-by-step solution

To answer this question, we must know the Pythagorean Theorem

The theorem allows us to calculate the sides of a right triangle.

We identify the sides:

ab = a = 5
bc = b = ?

ac = c = 13

 

We replace the data in the exercise:

5²+?² = 13²

We swap the sections

?²=13²-5²

?²=169-25

?²=144

?=12

3

Final Answer

12 cm

Practice Quiz

Test your knowledge with interactive questions

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

666888BBBCCCAAA

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