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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?
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…
Full Transcript
- 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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