Calculate Rectangle Diagonal Length: Finding BD When AB=4 and AD=3

Name: Video Solution: Calculate Rectangle Diagonal Length: Finding BD When AB=4 and AD=3
Description: Step-by-step video solution

Given the rectangle ABCD

It is known that:

AB=4

AD=3

What is the length of the diagonal BD?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find diagonal BD

00:04 Side values according to the given data

00:13 We'll use the Pythagorean theorem in triangle ABD

00:22 We'll substitute appropriate values and solve for BD

00:31 And this is the solution to the question

Step-by-step written solution

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Understand the problem

Given the rectangle ABCD

It is known that:

AB=4

AD=3

What is the length of the diagonal BD?

Step-by-step solution

We will use the Pythagorean theorem in order to find BD:

$BD^2=AD^2+AB^2$

Let's input the known data:

$BD^2=3^2+4^2$

$BD^2=9+16$

$BD^2=25$

We'll take the square root:

$BD=\sqrt{25}=5$

Final Answer

$5$

Practice Quiz

Test your knowledge with interactive questions

The points A and O are shown in the figure below.

Is it possible to draw a rectangle so that the side AO is its diagonal?

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Calculate Rectangle Diagonal Length: Finding BD When AB=4 and AD=3

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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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