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CAHSEE Math 6.1 Measurement and Geometry 246 Views


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Description:

Measurement and Geometry Drill 6 Problem 1. Solve for x .

Language:
English Language

Transcript

00:03

Here’s a shmoopy question for you…

00:05

Pythagoras has graciously allowed us to use his theorem royalty-free…

00:10

…but only if we can solve the below problem.

00:12

The two legs of a right triangle are eight inches and x inches long.

00:18

If the hypotenuse has a length of (x + 2) inches, find x.

00:22

And here are the potential answers...

00:28

This question is testing our recollection of the Pythagorean Theorem.

00:32

A squared plus B squared equals C squared. So in this example, a is 8, b is x and c – because

00:39

it’s across the right angle part, is the hypotenuse.

00:44

C is x plus 2. So the relevant equation looks like this:

00:48

And we get 64 plus x squared equals x squared plus 4x plus 4 which reduces to 64 equals

00:56

4x plus 4 when we subtract x squared from both sides.

01:01

Get rid of the 4 and we have 4x equals 60 or x equals 15.

01:07

Answer C. As in… “Cheapskate.”

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