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CAHSEE Math 5.5 Measurement and Geometry 179 Views


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Description:

Measurement and Geometry: Drill Set 5, Problem 5. What is the length of the hypotenuse of this triangle?

Language:
English Language

Transcript

00:03

Here’s an unshmoopy question you’ll find on an exam somewhere in life...

00:07

On a coordinate plane, the points (1, 1), (1, 4), and (5, 4) form the vertices of a right triangle.

00:12

What is the length of the hypotenuse of this triangle?

00:15

And here are the potential answers...

00:21

Ok, so this question wants to make sure we can read a graph…

00:25

and that we know our way around a triangle.

00:27

We are being asked to apply the Pythagorean theorem –

00:29

a squared plus b squared equals c squared.

00:32

And by this cool new technology called… counting… we can get a and b easily.

00:37

So a is 1 2 3 units high… and b is 1 2 3 4 units wide.

00:43

So the equation looks like this:

00:44

3 squared plus 4 squared is c squared.

00:48

We have 9 plus 16 equals 25 which is c squared…

00:56

…so to get c we take the square root of 25 which is 5 and the answer is... A.

01:03

Rhymes with yay.

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