SOLUTION: How can you solve a right triangle with two variables?? If a=x+1 b=x c=5 then how do you know?
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Question 1080879: How can you solve a right triangle with two variables?? If a=x+1 b=x c=5 then how do you know?
Found 3 solutions by Fombitz, MathLover1, Alan3354:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You only have one variable x.
I'm assuming that c is the hypotenuse.
Two solutions but only one is positive (which is required since we're getting a length).
So,
3-4-5 triangle
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
to solve a right triangle, use Pythagorean theorem
If , and , then we have:
.......simplify, divide by
....factor
solutions:
=>
=>...........since side of the triangle cannot be negative, disregard
so,
then
->->
->
and
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How can you solve a right triangle with two variables?? If a=x+1 b=x c=5 then how do you know?
------------
c is usually the hypotenuse.
Looks like the famous 3, 4, 5 right triangle.
---
a^2 + b^2 = c^2
(x+1)^2 + x^2 = 25
x^2+2x+1 + x^2 = 25
2x^2 + 2x - 24 = 0
x^2 + x - 12 = 0
(x+4)*(x-3) = 0
x = 3
etc
-----------
Ignore the x = -4
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