+0

# Last one probably!

0
40
6
+808

What is the sum of the lengths, in centimeters, of the two legs of a 30-60-90 right triangle, if the length of the hypotenuse is 2 sqrt 6 centimeters?

Thanks for all the help today!

AnonymousConfusedGuy  Feb 27, 2018
Sort:

#1
+84389
+1

The side opposite the 30°  is (1/2) of the hypotenuse  = √6 cm

The side opposite the 60° angle is  √3 times the side opposite the 30° angle  = √3 * √6

So...the perimeter is

√6 ( 1 + √3 + 2 )  =

√6 ( 3 + √3 )  cm

CPhill  Feb 27, 2018
#2
+808
0

You guys (and gals) are the best!  Thanks!

AnonymousConfusedGuy  Feb 27, 2018
#3
+808
0

Actually, is this the only answer? It's showing up wrong...

AnonymousConfusedGuy  Feb 27, 2018
#4
+84389
0

Try this, ACG.....

√6(3 + √3)  ≈  11.6 cm

CPhill  Feb 27, 2018
#5
+12143
0

CPhill's answer is equal to  11.59....

ElectricPavlov  Feb 27, 2018
#6
+808
0

Turns out it was a phrasing issue, it wanted sqrt6+3sqrt2 :/

AnonymousConfusedGuy  Feb 27, 2018

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