√(5-2x) - √(2-x) = 1
1 answer:
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Answer:
The height of the equilateral triangle is
Step-by-step explanation:
we know that
An equilateral triangle has three congruent sides, and three congruent angles that each measure 60 degrees
To find out the height of an equilateral triangle, apply the Pythagoras Theorem in the right triangle ABD
Remember that the height of an equilateral triangle bisects the base.
see the attached figure to better understand the problem
substitute the given values
Solve for BD
simplify
`
therefore
The height of the equilateral triangle is
We can use tangent to calculate the length of ST.
Here, the opposite side of the 60 degree angle is ST, and the adjacent is RS. Plug in what we know, we can use 'x' for side ST:
Solve for 'x', multiply 7 to both sides of the equation:
This is an exact answer for the length of ST, we can find an approximate with a calculator:
Here, the opposite side of the 60 degree angle is ST, and the adjacent is RS. Plug in what we know, we can use 'x' for side ST:
Solve for 'x', multiply 7 to both sides of the equation:
This is an exact answer for the length of ST, we can find an approximate with a calculator: