VanillaAngelic
  • VanillaAngelic
The measures of the acute angles of a right triangle are in the ratio 3:2. What is the measure of the smaller acute angle? Please explain.
Mathematics
chestercat
  • chestercat
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Mertsj
  • Mertsj
what is the sum of the measures of the two acute angles in a right triangle?
VanillaAngelic
  • VanillaAngelic
@Mertsj I fixed the question.
Mertsj
  • Mertsj
What is the sum of the measures of the acute angles of a right triangle?

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VanillaAngelic
  • VanillaAngelic
?
Mertsj
  • Mertsj
What is the sum of the three angles of any triangle?
VanillaAngelic
  • VanillaAngelic
90 degree?
Mertsj
  • Mertsj
The sum of the angles of any triangle is 180 degrees.
Mertsj
  • Mertsj
How many degrees in a right angle?
VanillaAngelic
  • VanillaAngelic
90
Mertsj
  • Mertsj
So if all three angles are 180 and the right angle is 90, what is the sum of the two acute angles of a right triangle?
Mertsj
  • Mertsj
|dw:1437530345194:dw|
Mertsj
  • Mertsj
What is the sum of angle A and angle B?
Mertsj
  • Mertsj
|dw:1437530426087:dw|
VanillaAngelic
  • VanillaAngelic
45?
Mertsj
  • Mertsj
Well I don't know what to say. 45+90 is NOT 180
VanillaAngelic
  • VanillaAngelic
A and B are both 45
Mertsj
  • Mertsj
Do you know what a sum is?
VanillaAngelic
  • VanillaAngelic
Yeah
Mertsj
  • Mertsj
What is it?
VanillaAngelic
  • VanillaAngelic
A sum is the total of when you add..
Mertsj
  • Mertsj
ok. good. I am thinking of three numbers. The total of the three numbers is 10. One of the numbers is 3. What is the sum of the remaining two numbers?
VanillaAngelic
  • VanillaAngelic
The remaining two is 3.5
Mertsj
  • Mertsj
How can you possibly know that? Why couldn't they be 4 and 3? How about 6 and 1? Or maybe 2 and 5?
VanillaAngelic
  • VanillaAngelic
Well...
VanillaAngelic
  • VanillaAngelic
3+6+1 also works but I guess there are many ways.
Mertsj
  • Mertsj
But one of the numbers is 3. What is the SUM of the other 2?
Mertsj
  • Mertsj
Obviously it HAS TO BE 7 because 7+3=10
VanillaAngelic
  • VanillaAngelic
Sorry :s
Mertsj
  • Mertsj
So back to the right triangle. One of the angles is 90. What is the SUM of the other 2 angles?

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