SOLUTION: In a right angled triangle two of the angles are in the ratio 6:13.find the third angle.
Algebra.Com
Question 575698: In a right angled triangle two of the angles are in the ratio 6:13.find the third angle.
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
angle a b c
one angle =90 degrees
the other two added together =90 degrees
all 3 angles added together =180 degrees
no single angle can be more than 90 degrees
angle a to angle b is 6:13 or 6x:13x
a=6x
b=13x
c is unknown (third angle)
****
by using the above facts
.
a cant possibly be the 90 degree angle beacause then b would be greater than 90 degrees
just to prove it
if a=90 then 6x=90 and x=15
and then b=13x=13(15)=195 and thats biggere then the entire triangle
****
so if b=90 degrees
13x=90
x=6.92
.
a=6(6.92)=41.5385
.
c=180-90-41.5385=48.4615
****
but if c=90 degrees then that would mean
6x+13x=90
19x=90
x=4.7368
a=6x=6(4.7368)=28.4211
b=13x=13(4.7368)=61.5789
****
so there are 2 possible answers either c=48.4615 or 90 degrees
RELATED QUESTIONS
In a right angled triangle, the two acute angles are in the ratio 2:1. Find the angles of (answered by Theo)
If three angles of a triangle are in the ratio 3:7:10, show that triangle is right... (answered by Boreal,MathTherapy)
A triangle has an angle that measures 85°. The other two angles are in a ratio of 6:13.... (answered by ankor@dixie-net.com)
Two angles of a triangle are in the ratio 3:4. The third angle is 15 degrees less than... (answered by ankor@dixie-net.com)
In a right angled triangle,one of the complementary angle is double the other.what are... (answered by Alan3354)
the ratio of the two acute angles in a right triangle is 5:13. what is the measure of... (answered by lwsshak3)
Two angles of a triangle are in the ratio 3:5. The third angle measures 26 degrees more... (answered by rfer)
If the sum of two angles of a triangle is equal to the third angle, prove that the... (answered by checkley77)
A triangle has an angle that measures 30°. The other two angles are in a ratio of 13:17. (answered by ikleyn,greenestamps)