If $A$ and $B$ are $n\\times n$ matrices such that $AB = BA$ (that is, $A$ and $B$ commute), show that $$ e^{A+B}=e^A e^B$$ Note that $A$ and $B$ do NOT have to be. So we take the lines from centroids of $\triangle cde, \triangle dea, \triangle eab$ through point $\overline {p}$ and show each of them is perpendicular to the line segment made by other two vertices. Pentagon $ (abcde)$ is inscribed in a circle of radius $1$ If $\angle dea=\angle eab = \angle abc$ and $m\angle cad=60^ {\circ}$ and $bc=2ab$ A given convex pentagon $abcde$ has the property that the area of each of the five triangles $abc$, $bcd$, $cde$, $dea$, and $eab$ is unity Calculate the area of the.
You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do i get it Instead, you can save this post to reference later. A pentagon abcde contains 5 triangles whose areas are each one The triangles are abc, bcd, cde, dea, and eab
Is there a theorem for. Here is a geometric solution provided by dr.shailesh shirali Draw a copy of triangle eab with da as base That is, locate point f inside the square such that triangle fda is congruent to triangle eab Then angle fad = angle eab = 15 deg, so angle fae = 60 deg Hence triangle fae is equilateral, and angle afe = 60 deg, and fa = fd = fe
Therefore f is equidistant from a, d, e. To gain full voting privileges,
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