444333XXXWhat is the length of the hypotenuse?

Name: Video Solution: Calculate the Hypotenuse X in a 3-4 Right Triangle using Pythagorean Theorem
Description: Step-by-step video solution

Calculate the Hypotenuse X in a 3-4 Right Triangle using Pythagorean Theorem

What is the length of the hypotenuse?

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Step-by-step video solution

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00:00 Find the length of hypotenuse X

00:03 Use the Pythagorean theorem in a right triangle

00:07 The sum of squares of both legs equals the square of hypotenuse

00:11 Substitute appropriate values and solve for X

00:21 Extract the root

00:27 And this is the solution to the problem

Step-by-step written solution

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Understand the problem

What is the length of the hypotenuse?

Step-by-step solution

We use the Pythagorean theorem

$AC^2+AB^2=BC^2$

We insert the known data:

$3^2+4^2=BC^2$

$9+16=BC^2$

$25=BC^2$

We extract the root:

$\sqrt{25}=BC$

$5=BC$

Final Answer

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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Calculate the Hypotenuse X in a 3-4 Right Triangle using Pythagorean Theorem

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Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Practice Quiz

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