sarahwaffle900t sarahwaffle900t
  • 21-01-2020
  • Mathematics
contestada

Find the length of the short leg of a 30-60-90 triangle if the long leg is 3cm

Respuesta :

kenlingdad kenlingdad
  • 21-01-2020

Answer:

Short leg = √3 cm

Step-by-step explanation:

the opposite angle of long leg is 60°

hypotenuse : x

sin 60° = 3/x = √3 / 2

x = (3 x 2) / √3 = 2√3

short leg length (s)

Cos 60° = 1/2 = s / x = s / 2√3

s = √3

Answer Link

Otras preguntas

A triangle has side lengths of 10 centimeters, 24 centimeters, and 28 centimeters. Is the triangle a right triangle
describe some of the causes of the american revolution. what did the american colonists demand of the british empire?
Which country was one of the axis powers during world war 11
What are 3 reasons why some people were against the Louisiana purchase
Sending out an S.O.S6b/9=15
can polygons have rounded edges
Draw every stereoisomer for 1,2-difluoro-1,2-dimethylcyclopentane. use wedge-and-dash bonds for the substituent groups, and be sure that they are drawn on the o
State two ways reformers tried to stop the sale of intoxicating liquors in the united states?!
the process by which the genetic code of dna is copied into a strand of rna
an acute triangle has sides measuring 10 cm and 16 cm. the length of the third is unknown. which is best describes the range of the possible values for the thir