meredith48034
meredith48034 meredith48034
  • 22-08-2020
  • Mathematics
contestada

what is the smallest angle of a right triangle with sides 9, 40, and 41? Round your answer to the nearest degree.​

Respuesta :

jimrgrant1 jimrgrant1
  • 22-08-2020

Answer:

13°

Step-by-step explanation:

The smallest angle in a triangle is the angle opposite the shortest side.

In this case the angle opposite side 9

let the angle be x, then using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{40}[/tex] , thus

x = [tex]tan^{-1}[/tex] ([tex]\frac{9}{40}[/tex] ) ≈ 13° ( to the nearest degree )

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