Two corners of a triangle have angles of $\frac{5 π}{8}$ $(5 pi )/ 8$ and $\frac{π}{2}$ $( pi ) / 2$ . If one side of the triangle has a length of $5$ $5$ , what is the longest possible perimeter of the triangle?

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Two corners of a triangle have angles of $\frac{5 π}{8}$ $(5 pi )/ 8$ and $\frac{π}{2}$ $( pi ) / 2$ . If one side of the triangle has a length of $5$ $5$ , what is the longest possible perimeter of the triangle?

1 Answer

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Answer 1 · 2017-12-05T08:57:26

As explained below.

Explanation:

Sum of the three angles of a triangle can not exceed $180^{0} or π$ $180^0 or pi$ radians.
But in the given sum, two angles account for $\frac{9 π}{8}$ $(9pi)/8$ which is more than $180^{0} or π^{c}$ $180^0 or pi^c$ . Hence the sum needs correction.

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Two corners of a triangle have angles of $\frac{5 π}{8}$ $(5 pi )/ 8$ and $\frac{π}{2}$ $( pi ) / 2$ . If one side of the triangle has a length of $5$ $5$ , what is the longest possible perimeter of the triangle?

1 Answer

Explanation:

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Two corners of a triangle have angles of (5 pi )/ 8 5π8 (5 pi )/ 8 and ( pi ) / 2 π2 ( pi ) / 2 . If one side of the triangle has a length of 5 5 5 , what is the longest possible perimeter of the triangle?

1 Answer

Explanation:

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Impact of this question

Two corners of a triangle have angles of $\frac{5 π}{8}$ $(5 pi )/ 8$ and $\frac{π}{2}$ $( pi ) / 2$ . If one side of the triangle has a length of $5$ $5$ , what is the longest possible perimeter of the triangle?