A triangle has sides A, B, and C. Sides A and B are of lengths $3$ $3$ and $4$ $4$ , respectively, and the angle between A and B is $\frac{π}{2}$ $(pi)/2$ . What is the length of side C?

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Answer 1 · 2018-03-25T09:44:19

$Length of side c = 5$ $color(purple)("Length of side c " = 5$

$Given : a = 3, b = 4, ˆ C = \frac{π}{2}$ $"Given : " a = 3, b = 4, hat C = pi/2$

$To find length of side c$ $"To find length of side " color(red)(c$

Given triangle as $ˆ C = \frac{π}{2}$ $color(red)(hat C = pi/2$

$:. c = sqrt (a^2 + b^2), "Applying Pythagoras theorem"$

$c = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt25 = 5$

A triangle has sides A, B, and C. Sides A and B are of lengths 333 and 444, respectively, and the angle between A and B is (pi)/2 π2(pi)/2 . What is the length of side C?