The square brackets distinguish ordered pairs that represent vectors from ordered pairs that represent points. A Start up with 5 co-founders had a common vision and approached DT Digital to launch a website and get the complete digital marketing strategy in place. Therefore, corner GAB = 90 degrees, which means angle GAD (aka x) + DAB = 90. Research influencers, manage your relationships, and conduct outreach thats personalized and efficient. endobj To find the area, multiply the base by the height. Prove that $AE + AF = BE$. Let the side of the pentagon be $1$ and the point of intersection of $CF$ and $BE$ be $P$. $$\implies EP = x\cos 36\implies BP=x(1-\cos36)$$, Now, $$\frac{BP}{BF}=\cos36\implies BF=\frac{x(1-\cos36)}{\cos36}$$ Denote by s the semi-perimeter, that is s = (a + b + c) = 2. Each angle of square = 90 Each angle of regular pentagon = 108 From the figure 180(5-2) = 540 $$\measuredangle GAF + \measuredangle AFG + \measuredangle FGA = 180^o \quad\rightarrow\quad 3\phi+\psi=180^o \tag{2}$$, Since $AB$ and $EA$ are two adjacent sides of the pentagon, $ABE$ is an isosceles triangle.

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