2x + y = 8 -x - 3y = -12 Solve the above system of equations using substitution.
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Answer:
7√3
Step-by-step explanation:
We can use pythagoreans theorem to solve this
Since, we know one side, and the hypotenuse, we can solve for the other side.
Pythagoreans theorem: a²+b²=c²
Where a and b are two sides, and c is the hypotenuse (the side opposite of the right angle)
In this triangle, 7 is the side, and 14 is the hypotenuse.
I will plug in the values into pythagoreans theorem, and then simplify:
So x = 7√3
Since ABC is equilateral, all 3 sides have equal length. side AC is 8 units since side BC is 8 units.
Line BD is placed in the middle, making D the midpoint of side AC.
knowing this information we can determine that the length of DC is 4 units (half of AC)
since triangle BDC is a right triangle, we can use the side lengths in the pythagorean theorem to find the length of BD
a²+b²=c² where a & b = legs of triangle , and c= hypotenuse (longest side)
we are given the hypotenuse and found one leg so we can plug our values into the equation to find the third
4² + b²= 8²
16 + b² = 64
b² = 48
b =
b= 4√3 or about 6.928 units
hope this helped