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Use the area formula to solve for length of the base of the triangle.
CAHSEE Math 6.1 Measurement and Geometry 246 Views
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Description:
Measurement and Geometry Drill 6 Problem 1. Solve for x .
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.
Full Transcript
- 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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