The length of the hypotenuse of a 45°-45°-90° triangle is 22. Find the length of one leg.
1 answer:
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Let's just choose "x" as our variable for the length of a side of the triangle.
Two sides of a triangle are equal in length and double the length of the shortest side.
A triangle has 3 sides. Make the smallest side x then the two equal sides that are double the smallest side are both equal to 2x
The perimeter of the triangle is 35 inches. Perimeter is the sum of all sides.
x + 2x + 2x = 35
5x = 35
x = 7
So the smallest side is 7, and the other two sides are 14.
For this case we have the following system of equations:
We multiply the second equation by -5:
Now we add the equations:
We find the value of the variable "y":
THE solution is: (-6, -3)
Answer:
(-6, -3)