A triangle has two corners with angles of $pi / 4$ and $pi / 2$ . If one side of the triangle has a length of $7$ , what is the largest possible area of the triangle?

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Answer 1 · 2018-06-02T15:53:18

Largest possible area of the triangle $volor(green)(A_t = 24.5$

$hat A = pi/4, hat B = pi/2, hat C = pi/4$

It’s an isosceles right triangle with sides b & c equal and smaller than a. $:. b = c = 7$ to get the largest area.

Side b & c are base & height and a the hypotenuse.

Area of triangle $A_t = (1/2) *b *c = (1/2) * 7 * 7 = 24.5$

A triangle has two corners with angles of pi / 4 pi / 4 and pi / 2 pi / 2 . If one side of the triangle has a length of 7 7 , what is the largest possible area of the triangle?