The length of the hypotenuse of a right isosceles triangle is 4√3 What is the perimeter of the triangle?

2 Answers
Jun 14, 2015

Answer:

Permeter#=16.7#

Explanation:

Try this:
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Jun 15, 2015

Answer:

The perimeter of the triangle is " "#color(blue)16.72616 # units.

Explanation:

Perimeter=AB+BC+CA

#P=AB+AC+4sqrt(3)# [since AC=hypotenuse]

#P=AC+AC+4sqrt(3)#[since it is a isosceles triangle]

#p=2AC+4sqrt(3)# #" "color(blue) ((1))#

http://images.tutorvista.com/cms/images/67/area-of-right-triangle

#sintheta#=opposite side/hypotenuse

#sin45^@=(AC)/(CB)#

#AC=(BC)xxsin45^@#

#AC=(BC)xx1/(sqrt(2))#[from angle table]

#AC=(4sqrt(3)xx1/sqrt2)#

#AC=(4sqrt3)/(sqrt2)#

substitute the above value in #" "color(blue) ((1))#

#P=(2xx(4sqrt3)/sqrt2)+(4sqrt3)#

#P=((8sqrt3)/sqrt2)+4sqrt3#

#P=# #color(blue)16.72616 # units.