Perimeter of an equilateral triangle drawn with respect to a square.

We only need to know that the $\angle ABC=30°$, the rest is just straight forward. enter image description here


$M$ is NOT the midpoint of $AB$. Note that the angle $\angle MCB$ is equal to $90^{\circ}-60^{\circ}=30^{\circ}$, therefore $$|MB|=|BC|\tan(30^{\circ})=\frac{1}{\sqrt{3}}.$$ Moreover $|ED|=|MB|$ (why?). Can you take it from here?

Tags:

Geometry

Analytic Geometry

Related

Are there products in the category of $\sigma$-algebras and (reversed) $\sigma$-homomorphisms? What is $26^{32}\bmod 12$? Evaluate $\lim_{n\to \infty}\left(\frac{1}{\sqrt{n(n+1)}}+\frac{1}{\sqrt{(n+1)(n+2)}}+\cdots+\frac{1}{\sqrt{(2n-1)2n}}\right)$ Find the area of the shaded region in the figure below: First Order Differential equation - separable form How many non-diagonalizable $2\times 2$ matrices are there with all entries single-digit strictly positive integers? Perfect understanding of Riemann Sums find the sum to n term of $\frac{1}{1\cdot2\cdot3} + \frac{3}{2\cdot3\cdot4} + \frac{5}{3\cdot4\cdot5} + \frac{7}{4\cdot5\cdot6 } + ... $ Solve differential equation $f''''(x)=f'''(x)f''(x)f'(x)f(x)$ 3 circles internal tangent How many ways could the guests arrange themselves on a four person couch Count the number of shapes in a polyhedron.

Recent Posts