math Q

[ATLATLATL]

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ok so this is an ez Q but i'm forgetting a very basic concept...LCD!!! so how is the lcd of the three angles below 15?!
lemme post the question first

if the angles of a triangle are in a ratio of 2:3:7 then the degree measures of the angles must be?

 

[DentalKitty]

ok so this is an ez Q but i'm forgetting a very basic concept...LCD!!! so how is the lcd of the three angles below 15?!
lemme post the question first

if the angles of a triangle are in a ratio of 2:3:7 then the degree measures of the angles must be?

With (2x+3x+7x)=360 x=12, so the angles are 60, 90, and 210. I don't see how the LCD of 2,3,7 or 60,90,210 is 15. Wouldn't it be 42 and 630, respectively? If you're talking about least common multiple (LCM) of the actual angles it wouldn't be 15 either, it would be 3 (although 15 is a multiple). Where did the 15 come from?

 

[jdmsamurai]

With (2x+3x+7x)=360 x=12, so the angles are 60, 90, and 210. I don't see how the LCD of 2,3,7 or 60,90,210 is 15. Wouldn't it be 42 and 630, respectively? If you're talking about least common multiple (LCM) of the actual angles it wouldn't be 15 either, it would be 3 (although 15 is a multiple). Where did the 15 come from?

i could have sworn the three angles of a triangle add up to 180.....😱

 

[Benoir]

180 degrees in a triangle.

Ratio 2:3:7
2+3+7 = 12
180/12 = 15
2(15):3(15):7(15)
30:45:105

 

[Streetwolf]

They do haha.

2:3:7. So 2+3+7 = 12. 180/12 = 15.

2x15 = 30 (angle 1)
3x15 = 45 (angle 2)
7x15 = 105 (angle 3)

Total = 180.

Edit: Bah I had this one on standby and didn't refresh for 10 minutes.

 

[DentalKitty]

i could have sworn the three angles of a triangle add up to 180.....😱

Yes, I believe my brain has been turned off all day 😳 That's what I get for trying to flip back and forth between SDN and work. Sorry about that!