The triangle below is equilateral. Find the length of side x in simplist radical form with a rational denominator.
1 answer:
The most appropriate choice for equilateral triangle will be given by
Value of x =
What is equilateral triangle?
A closed two dimensional figure with three sides and three angles is called triangle.
Based on sides of triangle, triangle can be classified as equilateral, isosceles and scalene
The triangle whose all sides and all angles are equal is called equilateral triangle. All the angles of equilateral triangle are 60°
Here,
Since the triangle is equilateral, angle of triangle is 60°
sin 60° =
=
To learn more about equilateral triangle, refer to the link:
#SPJ9
You might be interested in
Hi there!
We can calculate dy/dx using implicit differentiation:
xy + y² = 6
Differentiate both sides. Remember to use the Product Rule for the "xy" term:
(1)y + x(dy/dx) + 2y(dy/dx) = 0
Move y to the opposite side:
x(dy/dx) + 2y(dy/dx) = -y
Factor out dy/dx:
dy/dx(x + 2y) = -y
Divide both sides by x + 2y:
dy/dx = -y/x + 2y
We need both x and y to find dy/dx, so plug in the given value of x into the original equation:
-1(y) + y² = 6
-y + y² = 6
y² - y - 6 = 0
(y - 3)(y + 2) = 0
Thus, y = -2 and 3.
We can calculate dy/dx at each point:
At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.
At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.